Q. Find the solution set for the inequality: x^2 - 4 > 0.
-
A.
(-∞, -2) ∪ (2, ∞)
-
B.
(-2, 2)
-
C.
(2, -2)
-
D.
(-2, ∞)
Solution
Step 1: Factor the inequality: (x - 2)(x + 2) > 0. Step 2: The solution set is (-∞, -2) ∪ (2, ∞).
Correct Answer:
A
— (-∞, -2) ∪ (2, ∞)
Learn More →
Q. Find the solution to the inequality: 4x + 1 ≥ 2x + 5.
-
A.
x ≥ 2
-
B.
x ≤ 2
-
C.
x ≥ 4
-
D.
x ≤ 4
Solution
Step 1: Subtract 2x from both sides: 2x + 1 ≥ 5. Step 2: Subtract 1: 2x ≥ 4. Step 3: Divide by 2: x ≥ 2.
Correct Answer:
A
— x ≥ 2
Learn More →
Q. Find the solution to the inequality: 4x - 7 ≤ 9.
-
A.
x ≤ 4
-
B.
x ≥ 4
-
C.
x ≤ 2
-
D.
x ≥ 2
Solution
Step 1: Add 7 to both sides: 4x ≤ 16. Step 2: Divide by 4: x ≤ 4.
Correct Answer:
A
— x ≤ 4
Learn More →
Q. Find the solution to the inequality: x^2 + 4x < 5.
-
A.
(-5, 1)
-
B.
(1, -5)
-
C.
(1, 5)
-
D.
(-5, 5)
Solution
Step 1: Rearrange: x^2 + 4x - 5 < 0. Step 2: Factor: (x + 5)(x - 1) < 0. Step 3: Test intervals: solution is (-5, 1).
Correct Answer:
A
— (-5, 1)
Learn More →
Q. If 5x - 2 > 3x + 6, what is the value of x?
-
A.
x < 4
-
B.
x > 4
-
C.
x = 4
-
D.
x = 3
Solution
Step 1: Subtract 3x from both sides: 2x - 2 > 6. Step 2: Add 2: 2x > 8. Step 3: Divide by 2: x > 4.
Correct Answer:
B
— x > 4
Learn More →
Q. Solve the inequality: -4x + 1 ≤ 9.
-
A.
x ≥ -2
-
B.
x ≤ -2
-
C.
x > -2
-
D.
x < -2
Solution
Step 1: Subtract 1 from both sides: -4x ≤ 8. Step 2: Divide by -4 (reverse inequality): x ≥ -2.
Correct Answer:
A
— x ≥ -2
Learn More →
Q. Solve the inequality: 4x - 7 > 2x + 5.
-
A.
x > 6
-
B.
x < 6
-
C.
x > 5
-
D.
x < 5
Solution
Step 1: Subtract 2x from both sides: 2x - 7 > 5. Step 2: Add 7: 2x > 12. Step 3: Divide by 2: x > 6.
Correct Answer:
A
— x > 6
Learn More →
Q. Solve the inequality: 7 - 2x < 1.
-
A.
x > 3
-
B.
x < 3
-
C.
x > 4
-
D.
x < 4
Solution
Step 1: Subtract 7 from both sides: -2x < -6. Step 2: Divide by -2 (reverse the inequality): x > 3.
Correct Answer:
B
— x < 3
Learn More →
Q. Solve the inequality: x^2 + 2x - 8 < 0.
-
A.
-4 < x < 2
-
B.
x < -4 or x > 2
-
C.
x > -4 and x < 2
-
D.
x < 2
Solution
Step 1: Factor: (x + 4)(x - 2) < 0. Step 2: Critical points are x = -4 and x = 2. Step 3: Test intervals: -4 < x < 2.
Correct Answer:
A
— -4 < x < 2
Learn More →
Q. Solve the inequality: x^2 + 4x < 12.
-
A.
x < 2 or x > -6
-
B.
x > 2 and x < -6
-
C.
x < -2 or x > 6
-
D.
x > -6 and x < 2
Solution
Step 1: Rearrange: x^2 + 4x - 12 < 0. Step 2: Factor: (x + 6)(x - 2) < 0. Step 3: The solution is -6 < x < 2.
Correct Answer:
D
— x > -6 and x < 2
Learn More →
Q. Solve the inequality: x^2 - 4 > 0.
-
A.
x < -2 or x > 2
-
B.
x > -2 and x < 2
-
C.
x < 2
-
D.
x > 2
Solution
Step 1: Factor: (x - 2)(x + 2) > 0. Step 2: Test intervals: solution is x < -2 or x > 2.
Correct Answer:
A
— x < -2 or x > 2
Learn More →
Q. Solve the inequality: x^2 - 4x < 0.
-
A.
x < 0 or x > 4
-
B.
0 < x < 4
-
C.
x > 0
-
D.
x < 4
Solution
Step 1: Factor the inequality: x(x - 4) < 0. Step 2: The critical points are x = 0 and x = 4. Step 3: Test intervals: (0, 4) is the solution.
Correct Answer:
B
— 0 < x < 4
Learn More →
Q. Solve the inequality: x^2 - 5x + 6 ≤ 0.
-
A.
x ≤ 2 or x ≥ 3
-
B.
x ≥ 2 and x ≤ 3
-
C.
x < 2 or x > 3
-
D.
x > 2 and x < 3
Solution
Step 1: Factor the quadratic: (x - 2)(x - 3) ≤ 0. Step 2: The solution is 2 ≤ x ≤ 3.
Correct Answer:
B
— x ≥ 2 and x ≤ 3
Learn More →
Q. What is the solution set for the inequality: -4x + 1 < 3?
-
A.
x > -1/2
-
B.
x < -1/2
-
C.
x > 1/2
-
D.
x < 1/2
Solution
Step 1: Subtract 1 from both sides: -4x < 2. Step 2: Divide by -4 (reverse inequality): x > -1/2.
Correct Answer:
B
— x < -1/2
Learn More →
Q. What is the solution set for the inequality: x^2 - 5x + 6 < 0?
-
A.
(2, 3)
-
B.
(3, 2)
-
C.
(1, 6)
-
D.
(0, 5)
Solution
Step 1: Factor the quadratic: (x - 2)(x - 3) < 0. Step 2: Test intervals: solution is (2, 3).
Correct Answer:
A
— (2, 3)
Learn More →
Q. What is the solution to the inequality: 2(x - 1) > 3(x + 2)?
-
A.
x < -1
-
B.
x > -1
-
C.
x < 1
-
D.
x > 1
Solution
Step 1: Distribute: 2x - 2 > 3x + 6. Step 2: Rearrange: -x > 8. Step 3: Divide by -1 (reverse inequality): x < -8.
Correct Answer:
A
— x < -1
Learn More →
Q. What is the solution to the inequality: 3(x + 2) ≤ 2(x + 5)?
-
A.
x ≤ 1
-
B.
x ≥ 1
-
C.
x ≤ -1
-
D.
x ≥ -1
Solution
Step 1: Distribute: 3x + 6 ≤ 2x + 10. Step 2: Subtract 2x: x + 6 ≤ 10. Step 3: Subtract 6: x ≤ 4.
Correct Answer:
A
— x ≤ 1
Learn More →
Q. What is the solution to the inequality: 3(x - 2) > 2(x + 1)?
-
A.
x > 1
-
B.
x < 1
-
C.
x > 2
-
D.
x < 2
Solution
Step 1: Distribute: 3x - 6 > 2x + 2. Step 2: Subtract 2x: x - 6 > 2. Step 3: Add 6: x > 8.
Correct Answer:
A
— x > 1
Learn More →
Q. What is the solution to the inequality: 4x + 1 ≥ 2x + 9?
-
A.
x ≤ 4
-
B.
x ≥ 4
-
C.
x < 4
-
D.
x > 4
Solution
Step 1: Subtract 2x from both sides: 2x + 1 ≥ 9. Step 2: Subtract 1: 2x ≥ 8. Step 3: Divide by 2: x ≥ 4.
Correct Answer:
B
— x ≥ 4
Learn More →
Q. Which of the following is a solution to the inequality: 2x + 3 ≥ 11?
-
A.
x = 2
-
B.
x = 3
-
C.
x = 4
-
D.
x = 5
Solution
Step 1: Subtract 3 from both sides: 2x ≥ 8. Step 2: Divide by 2: x ≥ 4.
Correct Answer:
C
— x = 4
Learn More →
Q. Which of the following is a solution to the inequality: 3x + 2 < 11?
-
A.
x = 1
-
B.
x = 2
-
C.
x = 3
-
D.
x = 4
Solution
Step 1: Subtract 2 from both sides: 3x < 9. Step 2: Divide by 3: x < 3.
Correct Answer:
B
— x = 2
Learn More →
Q. Which of the following is a solution to the inequality: 4x - 1 ≤ 3x + 2?
-
A.
x ≤ 3
-
B.
x ≥ 3
-
C.
x < 3
-
D.
x > 3
Solution
Step 1: Subtract 3x from both sides: x - 1 ≤ 2. Step 2: Add 1: x ≤ 3.
Correct Answer:
A
— x ≤ 3
Learn More →
Q. Which of the following is a solution to the inequality: 6 - 2x ≤ 4?
-
A.
x ≥ 1
-
B.
x ≤ 1
-
C.
x ≥ 2
-
D.
x ≤ 2
Solution
Step 1: Subtract 6 from both sides: -2x ≤ -2. Step 2: Divide by -2 (reverse the inequality): x ≥ 1.
Correct Answer:
B
— x ≤ 1
Learn More →
Q. Which of the following represents the solution to the inequality: 4x + 1 ≥ 2x + 9?
-
A.
x ≥ 4
-
B.
x ≤ 4
-
C.
x > 4
-
D.
x < 4
Solution
Step 1: Subtract 2x from both sides: 2x + 1 ≥ 9. Step 2: Subtract 1: 2x ≥ 8. Step 3: Divide by 2: x ≥ 4.
Correct Answer:
A
— x ≥ 4
Learn More →
Q. Which of the following represents the solution to the inequality: 7 - 2x < 1?
-
A.
x > 3
-
B.
x < 3
-
C.
x > 4
-
D.
x < 4
Solution
Step 1: Subtract 7 from both sides: -2x < -6. Step 2: Divide by -2 (reverse inequality): x > 3.
Correct Answer:
A
— x > 3
Learn More →
Q. Which of the following values satisfies the inequality: 5 - 2x > 1?
-
A.
x < 2
-
B.
x > 2
-
C.
x < 1
-
D.
x > 1
Solution
Step 1: Subtract 5 from both sides: -2x > -4. Step 2: Divide by -2 (reverse inequality): x < 2.
Correct Answer:
A
— x < 2
Learn More →
Q. Which of the following values satisfies the inequality: 5 - x > 2?
-
A.
x < 3
-
B.
x > 3
-
C.
x < 5
-
D.
x > 5
Solution
Step 1: Subtract 5 from both sides: -x > -3. Step 2: Multiply by -1 (reverse the inequality): x < 3.
Correct Answer:
A
— x < 3
Learn More →
Showing 1 to 27 of 27 (1 Pages)
