Worksheet: Polynomial Inequalities with Unusual Solution Sets

In this worksheet, we will practice solving polynomial inequalities whose functions intersect with the x-axis at one point at most.

Q1:

Find all solutions to the inequality 𝑥 + 1 2 1 0 2 . Write your answer as an interval.

  • A ] 1 1 , 1 1 [
  • B [ 1 1 , 1 1 ]
  • C ] 1 1 , 1 1 [
  • D
  • E [ 1 1 , 1 1 ]

Q2:

Find all solutions to the inequality 𝑥 + 3 6 > 0 2 . Write your answer as an interval.

  • A ] 6 , 6 [
  • B [ 6 , 6 ]
  • C ] 6 , 6 [
  • D
  • E [ 6 , 6 ]

Q3:

Find all solutions to the inequality 𝑥 + 8 1 > 0 2 . Write your answer as an interval.

  • A ] 9 , 9 [
  • B [ 9 , 9 ]
  • C ] 9 , 9 [
  • D
  • E [ 9 , 9 ]

Q4:

Find all solutions to the inequality 𝑥 + 1 6 9 > 0 2 . Write your answer as an interval.

  • A ] 1 3 , 1 3 [
  • B [ 1 3 , 1 3 ]
  • C ] 1 3 , 1 3 [
  • D
  • E [ 1 3 , 1 3 ]

Q5:

Find all solutions to the inequality 𝑥 + 1 > 0 2 . Write your answer as an interval.

  • A ] 1 , 1 [
  • B [ 1 , 1 ]
  • C ] 1 , 1 [
  • D
  • E [ 1 , 1 ]

Q6:

Find all solutions to the inequality 𝑥 + 1 0 0 0 2 . Write your answer as an interval.

  • A ] 1 0 , 1 0 [
  • B [ 1 0 , 1 0 ]
  • C ] 1 0 , 1 0 [
  • D
  • E [ 1 0 , 1 0 ]

Q7:

Find all solutions to the inequality 𝑥 + 2 5 6 0 2 . Write your answer as an interval.

  • A ] 1 6 , 1 6 [
  • B [ 1 6 , 1 6 ]
  • C ] 1 6 , 1 6 [
  • D
  • E [ 1 6 , 1 6 ]

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.