Compound inequalities: "and" and "or"

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

1. 1.

   Pia solves 4 ≤ -2x + 2 < 10 with a pencil. What is the answer, written like 2 < x < 9 with the smaller number first?

   -4 < x ≤ -1
2. 2.

   Tala solves -8 ≤ -4x < 12 on paper. What is the answer, written like 2 < x < 9 with the smaller number first?

   -3 < x ≤ 2
3. 3.

   Ari solves x < 4 or x < 9 with a pencil. Which answer is right?

   • x < 4
   • x < 9
   • All real numbers
   • 4 < x < 9
4. 4.

   Esme solves x ≥ 3 or x ≥ 8 on paper. Which answer is right?

   • x ≥ 8
   • 3 ≤ x ≤ 8
   • All real numbers
   • x ≥ 3
5. 5.

   Jun solves 2x + 1 < 5 and 3x > 12 on paper. What is the answer?

   • x < 2
   • All real numbers
   • 2 < x < 4
   • No solution
6. 6.

   Kira solves x + 4 > 6 or x - 1 < 5 with a pencil. What is the answer?

   • No solution
   • 2 < x < 6
   • x > 2
   • All real numbers
7. 7.

   Luz solves 3x - 2 ≥ 7 and x + 5 ≤ 6 in a math notebook. What is the answer?

   • 1 ≤ x ≤ 3
   • No solution
   • All real numbers
   • x ≥ 3
8. 8.

   Milo solves 2x < 10 or x + 3 > 4 on paper. What is the answer?

   • 1 < x < 5
   • All real numbers
   • No solution
   • x < 5
9. 9.

   Ren wonders how many integers make -10 < 2x - 6 < -2 true in a math notebook. How many are there?

   3
10. 10.

    Tala wonders how many integers make -4 ≤ 3x + 2 ≤ 14 true on paper. How many are there?

    7