Compound inequalities: "and" and "or"

Answer Key - Grade 9 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Ari draws a graph on paper. Which compound inequality does the graph show?

   • -2 ≤ x ≤ 4
   • -2 ≤ x < 4
   • -2 < x ≤ 4
   • x ≥ -2 or x < 4
2. 2.

   Jun draws a graph on paper. Which compound inequality does the graph show?

   • 0 < x ≤ 5
   • x < 0 and x ≥ 5
   • x ≤ 0 or x > 5
   • x < 0 or x ≥ 5
3. 3.

   Kira tests numbers on paper. Which number makes -3 < x ≤ 2 true?

   • 0
   • -5
   • -3
   • 4
4. 4.

   Luz tests numbers with a pencil. Which number makes 1 ≤ x < 6 true?

   • 0
   • 6
   • 8
   • 3
5. 5.

   Milo tests numbers in a math notebook. Which number makes x < -1 or x ≥ 4 true?

   • -1
   • 5
   • 2
   • 0
6. 6.

   Noah tests numbers on paper. Which number makes x ≤ 0 or x > 6 true?

   • 4
   • 3
   • 6
   • -2
7. 7.

   Pia is solving 3x - 1 > 8 and x ≤ 7 on paper. Solve the first part, 3x - 1 > 8. What inequality gets x by itself?

   x > 3
8. 8.

   Ren is solving 2x + 5 ≤ 11 or x > 6 with a pencil. Solve the first part, 2x + 5 ≤ 11. What inequality gets x by itself?

   x ≤ 3
9. 9.

   Tala is solving -2x ≥ 6 and x > -9 in a math notebook. Solve the first part, -2x ≥ 6. What inequality gets x by itself?

   x ≤ -3
10. 10.

    Zee is solving -3x < 12 and x < 5 on paper. Solve the first part, -3x < 12. What inequality gets x by itself?

    x > -4