Inequalities

Worksheet: Inequalities

Name:Class:

Answer the questions.

1. Which symbol makes this true: 7 __ 4?
   a) <b) =c) >d) ≤
2. Which symbol means "less than or equal to"?
   a) <b) ≠c) ≤d) ≥
3. The inequality -3 < -5 is true.
   a) Trueb) False
4. On a number line, x ≥ 2 is shown with which circle at 2?
   a) A filled circle, line going leftb) A filled circle, line going rightc) An open circle, line going leftd) An open circle, line going right
5. x < 3 is drawn on a number line. Which describes it?
   a) Filled circle at 3, line to the leftb) Filled circle at 3, line to the rightc) Open circle at 3, line to the leftd) Open circle at 3, line to the right
6. Solve: x + 5 > 9
   a) x < 4b) x > 14c) x > 4d) x > 5
7. Solve: 3x - 2 ≤ 10
   a) x ≤ 12b) x ≤ 4c) x ≤ 8/3d) x ≥ 4
8. What is the largest integer that satisfies x < 6.5?
9. How many integers satisfy -2 ≤ x < 3?
   a) 3b) 4c) 5d) 6
10. What is the smallest integer that satisfies 2x > 7?
11. When you divide both sides of an inequality by -2, you must reverse the sign.
    a) Trueb) False
12. Solve: -2x > 8
    a) x < -4b) x < 4c) x > -4d) x > 4
13. Solve: 5 - 3x ≥ 14
    a) x ≤ -3b) x ≤ 3c) x ≥ -3d) x ≥ 3
14. If x > 2, then -x > -2.
    a) Trueb) False
15. Solve -x/3 < 2. Give your answer as an inequality.
16. How many positive integers x satisfy 3x - 4 < 11?
    a) 3b) 4c) 5d) 6