# Inequalities

> Grade 9: inequality symbols < > ≤ ≥, show an inequality on a number line, solve a linear inequality, integer solutions, reverse the sign when multiplying by a negative.

Source: https://olyclass.com/library/math-g9-inequalities-en/

- Subject: Math
- Level: Grade 9
- Practice: 16
- Play it free on one screen (projector, TV or whiteboard): https://olyclass.com/library?play=math-g9-inequalities-en
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## Questions

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