Worksheet: Solving Quadratic Inequalities by Graphing

In this worksheet, we will practice finding the solution of a quadratic inequality in one variable from its graph.

Q1:

Determine the solution set of the inequality 𝑓 ( 𝑥 ) 0 using the graph below.

  • A [ 4 , 3 ]
  • B [ 4 , 3 ]
  • C ] 4 , 3 [
  • D ] 4 , 3 [

Q2:

Solve the inequality 𝑥 𝑥 1 2 < 0 2 .

  • A 𝑥 [ 4 , 3 ]
  • B 𝑥 [ 3 , 4 ]
  • C 𝑥 ] 4 , 3 [
  • D 𝑥 ] 3 , 4 [
  • E 𝑥 [ 3 , 4 ]

Q3:

Determine the solution set of the inequality 𝑓 ( 𝑥 ) 0 using the graph below.

  • A [ 7 , 5 ]
  • B [ 7 , 5 ]
  • C ] 7 , 5 [
  • D ] 7 , 5 [

Q4:

Determine the solution set of the inequality 𝑓 ( 𝑥 ) 0 using the graph below.

  • A ] 1 , 2 [
  • B [ 1 , 2 ]
  • C ] 1 , 2 [
  • D [ 1 , 2 ]

Q5:

Determine the solution set of the inequality 𝑓 ( 𝑥 ) > 0 using the graph below.

  • A ] 3 , 5 [
  • B ] 3 , 5 [
  • C [ 3 , 5 ]
  • D [ 3 , 5 ]

Q6:

Determine the solution set of the inequality 𝑓 ( 𝑥 ) > 0 using the graph below.

  • A ] 5 , 6 [
  • B ] 5 , 6 [
  • C [ 5 , 6 ]
  • D [ 5 , 6 ]

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