Q.1 Which of the following is the solution set of x + 5 > 10?
x > 5
x < 5
x = 5
x ≥ 5
Explanation - Subtracting 5 from both sides of the inequality gives x > 5.
Correct answer is: x > 5
Q.2 Solve the inequality: 3x ≤ 12.
x ≤ 4
x ≥ 4
x < 4
x > 4
Explanation - Dividing both sides by 3 gives x ≤ 4.
Correct answer is: x ≤ 4
Q.3 If -2x > 8, what is the solution?
x < -4
x > -4
x ≤ -4
x ≥ -4
Explanation - Dividing by -2 flips the inequality: -2x > 8 ⇒ x < -4.
Correct answer is: x < -4
Q.4 Which of the following represents 'x is at least 7'?
x > 7
x ≥ 7
x < 7
x ≤ 7
Explanation - ‘At least’ means greater than or equal to.
Correct answer is: x ≥ 7
Q.5 Solve: 5x - 2 < 13.
x < 3
x > 3
x ≤ 3
x ≥ 3
Explanation - Adding 2: 5x < 15, dividing by 5: x < 3.
Correct answer is: x < 3
Q.6 What is the solution to 4 - x ≥ 1?
x ≤ 3
x ≥ 3
x > 3
x < 3
Explanation - Rearranging: -x ≥ -3 ⇒ x ≤ 3.
Correct answer is: x ≤ 3
Q.7 Which inequality shows 'y is no more than 12'?
y < 12
y ≤ 12
y > 12
y ≥ 12
Explanation - ‘No more than’ means less than or equal to.
Correct answer is: y ≤ 12
Q.8 Solve: 2(x + 3) > 10.
x > 2
x < 2
x ≥ 2
x ≤ 2
Explanation - Expanding: 2x + 6 > 10 ⇒ 2x > 4 ⇒ x > 2.
Correct answer is: x > 2
Q.9 The solution set of 7x + 1 ≤ 15 is:
x ≤ 2
x ≥ 2
x < 2
x > 2
Explanation - Subtract 1: 7x ≤ 14 ⇒ x ≤ 2.
Correct answer is: x ≤ 2
Q.10 If 3x - 4 > 5, what is x?
x > 3
x < 3
x ≥ 3
x ≤ 3
Explanation - 3x > 9 ⇒ x > 3.
Correct answer is: x > 3
Q.11 Which inequality represents 'x is less than 9'?
x < 9
x > 9
x ≤ 9
x ≥ 9
Explanation - The phrase directly translates to x < 9.
Correct answer is: x < 9
Q.12 Solve: -3x ≤ 12.
x ≥ -4
x ≤ -4
x < -4
x > -4
Explanation - Dividing by -3 flips the inequality: x ≥ -4.
Correct answer is: x ≥ -4
Q.13 What is the solution to 2x + 7 ≥ 3?
x ≥ -2
x ≤ -2
x > -2
x < -2
Explanation - 2x ≥ -4 ⇒ x ≥ -2.
Correct answer is: x ≥ -2
Q.14 Which is the solution to 10 - x < 6?
x > 4
x < 4
x ≥ 4
x ≤ 4
Explanation - Rearranging: -x < -4 ⇒ x > 4.
Correct answer is: x > 4
Q.15 Solve: 5x + 2 ≥ 7.
x ≥ 1
x ≤ 1
x > 1
x < 1
Explanation - 5x ≥ 5 ⇒ x ≥ 1.
Correct answer is: x ≥ 1
Q.16 If x - 8 < 0, what is x?
x < 8
x > 8
x ≥ 8
x ≤ 8
Explanation - Adding 8: x < 8.
Correct answer is: x < 8
Q.17 Solve: -4x + 3 > 11.
x < -2
x > -2
x ≥ -2
x ≤ -2
Explanation - -4x > 8 ⇒ x < -2 after dividing by -4.
Correct answer is: x < -2
Q.18 The solution set of x/2 ≤ 6 is:
x ≤ 12
x ≥ 12
x < 12
x > 12
Explanation - Multiply both sides by 2: x ≤ 12.
Correct answer is: x ≤ 12
Q.19 Which inequality represents 'n is greater than or equal to 15'?
n > 15
n ≥ 15
n < 15
n ≤ 15
Explanation - The phrase translates directly to n ≥ 15.
Correct answer is: n ≥ 15
Q.20 Solve: 6x - 5 ≤ 7.
x ≤ 2
x ≥ 2
x > 2
x < 2
Explanation - 6x ≤ 12 ⇒ x ≤ 2.
Correct answer is: x ≤ 2
Q.21 What is the solution of -2x + 1 ≤ -5?
x ≥ 3
x ≤ 3
x < 3
x > 3
Explanation - -2x ≤ -6 ⇒ x ≥ 3.
Correct answer is: x ≥ 3
Q.22 If x/3 > 4, what is x?
x > 12
x < 12
x ≥ 12
x ≤ 12
Explanation - Multiply both sides by 3: x > 12.
Correct answer is: x > 12
Q.23 Solve: 7 - 2x < 3.
x > 2
x < 2
x ≥ 2
x ≤ 2
Explanation - -2x < -4 ⇒ x > 2.
Correct answer is: x > 2
Q.24 Which inequality shows 'm is at most 20'?
m < 20
m ≤ 20
m > 20
m ≥ 20
Explanation - ‘At most’ means less than or equal to.
Correct answer is: m ≤ 20
Q.25 Solve: 9x + 4 ≥ 22.
x ≥ 2
x ≤ 2
x > 2
x < 2
Explanation - 9x ≥ 18 ⇒ x ≥ 2.
Correct answer is: x ≥ 2