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# 51 SAT Inequalities Practice Questions with Answer Keys | SAT 2023-24 Math Online Courses AMBiPi

Welcome to AMBiPi (Amans Maths Blogs). SAT (Scholastic Assessment Test) is a standard test, used for taking admission to undergraduate programs of universities or colleges of United States. SAT is developed and published by the College Board, an organization in United States, administered by the Educational Testing Service. In this article, you will get 51 SAT Inequalities Practice Questions with Answer Keys | SAT 2023-24 Math Online Courses AMBiPi.

### SAT 2023-24 Inequalities Practice Questions

SAT Inequalities Question No 1:

Solve the equality 4x – 1 ≥ 7.

Option A : x ≥ 2

Option B : x ≤ 2

Option C : x > 2

Option D : x < 2

Option A : x ≥ 2

SAT Inequalities Question No 2:

Solve the inequality 2(x – 5) ≤ 8.

Option A : x ≥ 9

Option B : x ≤ 9

Option C : x > 9

Option D : x < 9

Option B : x ≤ 9

SAT Inequalities Question No 3:

Solve the inequality 3 – 2x < x + 6.

Option A : x ≥ -1

Option B : x ≤ -1

Option C : x > -1

Option D : x < -1

Option C : x > -1

SAT Inequalities Question No 4:

Solve the inequality 3(x + 4) > 12.

Option A : x ≥ 0

Option B : x ≤ 0

Option C : x > 0

Option D : x < 0

Option C : x > 0

SAT Inequalities Question No 5:

Solve the inequality x/2 > 5.

Option A : x ≥ 10

Option B : x ≤ 10

Option C : x > 10

Option D : x < 10

Option B : x > 10

SAT Inequalities Question No 6:

Solve the inequality 2x – 7 ≤ 5 – 4x

Option A : x ≥ 2

Option B : x ≤ 2

Option C : x > 2

Option D : x < 2

Option B : x ≤ 2

SAT Inequalities Question No 7:

Solve the inequality 3x + 2 < 11.

Option A : x ≥ 3

Option B : x ≤ 3

Option C : x > 3

Option D : x < 3

Option D : x < 3

SAT Inequalities Question No 8:

Solve the inequality 4(x – 6) ≥ 20.

Option A : x ≥ 11

Option B : x ≤ 11

Option C : x > 11

Option D : x < 11

Option A : x ≥ 11

SAT Inequalities Question No 9:

Solve the inequality x/4 < 2.

Option A : x ≥ 8

Option B : x ≤ 8

Option C : x > 8

Option D : x < 8

Option D : x < 8

SAT Inequalities Question No 10:

Solve the inequality 12 – 3x > 2x + 1.

Option A : x ≥ 11/5

Option B : x ≤ 11/5

Option C : x > 11/5

Option D : x < 11/5

Option D : x < 11/5

SAT Inequalities Question No 11:

Which of the following graph represents the solutions of the inequality (x – 5)/7 < -3.

Option A

Option B

Option C

Option D

Option C

SAT Inequalities Question No 12:

Which of the following graph represents the solutions of the inequality 3(5 – x) ≥ 7x – 1.

Option A :

Option B

Option C

Option D :

Option D

SAT Inequalities Question No 13:

Which of the following graph represents the solutions of the inequality 3y – (2y + 2) ≤ 7?

Option A

Option B :

Option C

Option D

Option A

SAT Inequalities Question No 14:

Which of the following graph represents the solutions of the inequality (m + 2)/5 < 2m/3?

Option A

Option B

Option C

Option D

Option D

SAT Inequalities Question No 15:

Which of the following graph represents the solutions of the inequality (m – 2)/3 ≥ (2m + 1)/7?

Option A

Option B

Option C

Option D

Option D

SAT Inequalities Question No 16:

Which of the following graph represents the solutions of the inequalities 4(x – 1) ≤ 20 and x + 6 > 9?

Option A

Option B

Option C

Option D :

Option B

SAT Inequalities Question No 17:

Which of the following graph represents the solutions of the inequalities -3(x + 2) > 15 or x – 3 ≤ -1?

Option A

Option B

Option C

Option D

Option A

SAT Inequalities Question No 18:

Which of the following graph represents the solutions of the inequalities -2x – 7 ≤ 3 and 2x ≤ 0?

Option A

Option B

Option C

Option D

Option C

SAT Inequalities Question No 19:

Which of the following graph represents the solutions of the inequalities -3 ≤ 2x + 5 < 7 ?

Option A

Option B

Option C :

Option D :

Option D

SAT Inequalities Question No 20:

Which of the following graph represents the solutions of the inequalities 2 < 3x – 4 ≤ 19 ?

Option A

Option B

Option C :

Option D :

Option B

SAT Inequalities Question No 21:

Which of the following inequality represents the solutions on number line below?

Option A : 4 < x < 9

Option B : 4 ≤ x ≤ 9

Option C : 4 ≤ x < 9

Option D : 4 < x ≤ 9

Option C : 4 ≤ x < 9

SAT Inequalities Question No 22:

Which of the following inequality represents the solutions on number line below?

Option A : -1 < x ≤ 9

Option B : -1 ≤ x < 9

Option C : -1 ≤ x ≤ 9

Option D : -1 < x < 9

Option A : -1 ≤ x ≤ 9

SAT Inequalities Question No 23:

Which of the following inequality represents the solutions on number line below?

Option A : 4 < x ≤ 9

Option B : 4 ≤ x < 9

Option C : 4 ≤ x ≤ 9

Option D : 4 < x < 9

Option B : 4 ≤ x < 9

SAT Inequalities Question No 24:

Which of the following intervals represents the solutions on number line below?

Option A : x ∈ (2, ∞)

Option B : x ∈ [2, ∞)

Option C : x ∈ (2, ∞]

Option D : x ∈ [2, ∞]

Option B : x ∈ [2, ∞)

SAT Inequalities Question No 25:

Which of the following intervals represents the solutions on number line below?

Option A : x ∈ [-∞, -5)

Option B : x ∈ (-∞, -5]

Option C : x ∈ (-∞, -5)

Option D : x ∈ [-∞, -5]

Option C : x ∈ (-∞, -5)

SAT Inequalities Question No 26:

Solve the inequality 1 + 5x < 19.

Option A : x ∈ [-1, -18/5)

Option B : x ∈ (-∞, -18/5]

Option C : x ∈ (-∞, -18/5)

Option D : x ∈ [-1, -18/5]

Option C : x ∈ (-∞, -18/5)

SAT Inequalities Question No 27:

Solve the inequality 11 − 2x > 5.

Option A : x ∈ [-5, 3)

Option B : x ∈ (-∞, 3]

Option C : x ∈ (-∞, 3)

Option D : x ∈ [-5, 3]

Option C : x ∈ (-∞, 3)

SAT Inequalities Question No 28:

Solve the inequality 5x + 3 ≥ 3x + 1.

Option A : x ∈ [-1, ∞)

Option B : x ∈ (-∞, -1]

Option C : x ∈ (-∞, -1)

Option D : x ∈ [-1, 15]

Option A : x ∈ [-1, ∞)

SAT Inequalities Question No 29:

Solve the inequality |x| ≥ 5

Option A : -5 ≤ x ≤ 5

Option B : x ≤ 5

Option C : x ≥ 5

Option D : x ≤ -5 or x ≥ 5

Option D : x ≤ -5 or x ≥ 5

SAT Inequalities Question No 30:

Solve the inequality |x – 4| < 3.

Option A : 1 ≤ x ≤ 7

Option B : 1 < x ≤ 7

Option C : 1 < x < 7

Option D : x ≤ 1 or x ≥ 7

Option C : 1 < x < 7

SAT Inequalities Question No 31:

Solve the inequality |5x − 8| ≤ 12.

Option A : -4/5 ≤ x ≤ 4

Option B : -4/5 < x ≤ 4

Option C : 4/5 < x < 4

Option D : x ≤ -4/5 or x ≥ 4

Option A : -4/5 ≤ x ≤ 4

SAT Inequalities Question No 32:

Solve the inequality |x| ≤ 3.

Option A : -3 ≤ x ≤ 3

Option B : -3 < x ≤ 4

Option C : -3 < x < 3

Option D : x ≤ -3 or x ≥ 3

Option A : -3 ≤ x ≤ 3

SAT Inequalities Question No 33:

Solve the inequality |x| > 6.

Option A : -6 ≤ x ≤ 6

Option B : -6 < x ≤ 6

Option C : x < -6 or x > 6

Option D : x ≤ -6 or x ≥ 6

Option C : x < -6 or x > 6

SAT Inequalities Question No 34:

Solve the inequality |x – 4| 3.

Option A : -7 ≤ x ≤ 7

Option B : 1 ≤ x ≤ 7

Option C : x < -7 or x > 7

Option D : x ≤ 1 or x ≥ 7

Option B : 1 ≤ x ≤ 7

SAT Inequalities Question No 35:

Solve the inequality |x – 2| 5.

Option A : -5 ≤ x ≤ 7

Option B : -3 ≤ x ≤ 7

Option C : x < -3 or x > 7

Option D : x ≤ 3 or x ≥ 7

Option B : -3 ≤ x ≤ 7

SAT Inequalities Question No 36:

Solve the inequality |x + 4| 2.

Option A : -6 ≤ x ≤ -2

Option B : -2 ≤ x ≤ 6

Option C : x < -6 or x > 2

Option D : x ≤ -6 or x ≥ -2

Option D : x ≤ -6 or x ≥ -2

SAT Inequalities Question No 37:

Solve the inequality |3 – x| > 1.

Option A : 2 ≤ x ≤ 4

Option B : 2 < x < 4

Option C : x < 2 or x > 4

Option D : x ≤ 2 or x ≥ 4

Option C : x < 2 or x > 4

SAT Inequalities Question No 38:

Solve the inequality |x + 1| 0.

Option A : -1 ≤ x ≤ 1

Option B : 1 < x < 2

Option C : x = 1

Option D : x = -1

Option D : x = -1

SAT Inequalities Question No 39:

Solve the inequality |x − 2| + 4 < 10.

Option A : -4 ≤ x ≤ 8

Option B : -4 < x < 8

Option C : x < -4 or x > 8

Option D : x ≤ 4 or x ≥ 8

Option A : -4 < x < 8

SAT Inequalities Question No 40:

Solve the inequality |x − 5| – 6 5.

Option A : -6 ≤ x ≤ 11

Option B : -6 ≤ x ≤ 16

Option C : x < -6 or x > 16

Option D : x ≤ -6 or x ≥ 16

Option B : -6 ≤ x ≤ 16

SAT Inequalities Question No 41:

Solve the inequality x2 – 3x + 2 > 0.

Option A : 1 ≤ x ≤ 2

Option B : 1 < x < 2

Option C : x < 1 or x > 2

Option D : x ≤ 1 or x ≥ 2

Option C : x < 1 or x > 2

SAT Inequalities Question No 42:

Solve the inequality −2x2 + 5x + 12 ≥ 0.

Option A : -3/2 ≤ x ≤ 4

Option B : -3 < x < 4

Option C : x < -3/2 or x > 4

Option D : x ≤ -3 or x ≥ 4

Option A : -3/2 ≤ x ≤ 4

SAT Inequalities Question No 43:

Solve the inequality x2 − x − 6 0.

Option A : -2 ≤ x ≤ 3

Option B : 2 < x < 3

Option C : x < -2 or x > 3

Option D : x ≤ -2 or x ≥ 3

Option A : -2 ≤ x ≤ 3

SAT Inequalities Question No 44:

Solve the inequality (x − 3)(x + 1) < 0.

Option A : -1 ≤ x ≤ 3

Option B : -1 < x < 3

Option C : x < -1 or x > 3

Option D : x ≤ 1 or x ≥ 3

Option B : -1 < x < 3

SAT Inequalities Question No 45:

Solve the inequality x2 + 5x + 6 ≥ 0.

Option A : 2 ≤ x ≤ 3

Option B : -3 < x < -2

Option C : x < 2 or x > 3

Option D : x ≤ -3 or x ≥ -2

Option D : x ≤ -3 or x ≥ -2

SAT Inequalities Question No 46:

Solve the inequality (2x − 1)(3x + 4) > 0.

Option A : -4/3 ≤ x ≤ 1/2

Option B : -4/3 < x < 1/2

Option C : x < -4/3 or x > 1/2

Option D : x ≤ -4/3 or x ≥ 1/2

Option C : x < -4/3 or x > 1/2

SAT Inequalities Question No 47:

Solve the inequality 10x2 − 19x + 6 ≤ 0.

Option A : 2/5 ≤ x ≤ 3/2

Option B : -2/5 < x < 1/2

Option C : x < 2/5 or x > 1/2

Option D : x ≤ 2/5 or x ≥ 3/2

Option A : 2/5 ≤ x ≤ 3/2

SAT Inequalities Question No 48:

Solve the inequality 5 − 4x − x2 > 0.

Option A : -5 ≤ x ≤ 1

Option B : -5 < x < 1

Option C : x < -5 or x > 1

Option D : x ≤ -5 or x ≥ 1

Option A : -5 ≤ x ≤ 1

SAT Inequalities Question No 49:

Solve the inequality 1 − x − 2x2 < 0.

Option A : -1 ≤ x ≤ 1/2

Option B : -1 < x < 1/2

Option C : x < -1 or x > 1/2

Option D : x ≤ -1 or x ≥ 1/2

Option C : x < -1 or x > 1/2

SAT Inequalities Question No 50:

Solve the inequality x2 − x − 30 ≥ 0.

Option A : -5 ≤ x ≤ 6

Option B : -5 < x < 6

Option C : x < -5 or x > 6

Option D : x ≤ -5 or x ≥ 6

Option D : x ≤ -5 or x ≥ 6

SAT Inequalities Question No 51:

Solve the inequality x² > 4(8 − x).

Option A : -8 ≤ x ≤ 4

Option B : -8 < x < 4

Option C : x < -8 or x > 4

Option D : x ≤ -8 or x ≥ 4