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Worksheet: Solving Nonlinear Polynomial Inequalities

Q1:

Determine the solution set of the inequality using the graph below.

  • A
  • B
  • C
  • D

Q2:

Determine the solution set of the inequality using the graph below.

  • A
  • B
  • C
  • D

Q3:

Determine the solution set of the inequality using the graph below.

  • A
  • B
  • C
  • D

Q4:

Determine the solution set of the inequality using the graph below.

  • A
  • B
  • C
  • D

Q5:

Determine the solution set of the inequality using the graph below.

  • A
  • B
  • C
  • D

Q6:

Find the interval describing all solutions to the inequality .

  • A
  • B
  • C
  • D

Q7:

Find the interval describing all solutions to the inequality .

  • A
  • B
  • C
  • D

Q8:

Write the interval describing all solutions to the inequality .

  • A
  • B
  • C
  • D
  • E

Q9:

Write the interval describing all solutions to the inequality .

  • A
  • B
  • C
  • D
  • E

Q10:

Find all solutions to the inequality . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q11:

Find all solutions to the inequality . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q12:

Determine the solution set of the inequality .

  • A
  • B
  • C
  • D

Q13:

Determine the solution set of the inequality .

  • A
  • B
  • C
  • D

Q14:

Find all solutions to the inequality . Write your answer as an interval.

  • A
  • B
  • C
  • D

Q15:

Find all solutions to the inequality . Write your answer as an interval.

  • A
  • B
  • C
  • D
  • E

Q16:

Write the interval describing all solutions to the inequality .

  • A
  • B
  • C
  • D
  • E

Q17:

Given that is zero when , determine the conditions on so that .

  • A
  • B or
  • C or
  • D or
  • E or

Q18:

Given that the function has a zero at , determine all for which the graph is below the -axis.

  • A or
  • B or
  • C or
  • D or
  • E or