Precalculus: Solving Inequalities in One Variable Practice Problems

Questions

1. Using a sign chart, find the values of x that satisfyx3 − x2 − 8x + 12

3− x> 0. Express your solution in both set notation

and interval notation.

2. Using a sign chart, find the values of x that satisfy(5x− 6)|2x− 4|

x> 0. Express your solution in both set notation

and interval notation.

3. Using a sign chart, find the values of x that satisfy(4x + 7)

√1− x

x + 10≤ 0. Express your solution in both set notation and

interval notation.

Page 1 of 4

Precalculus: Solving Inequalities in One Variable Practice Problems

Solutions

1. Using a sign chart, find the values of x that satisfyx3 − x2 − 8x + 12

3− x> 0. Express your solution in both set notation

and interval notation.

Page 2 of 4

Precalculus: Solving Inequalities in One Variable Practice Problems

2. Using a sign chart, find the values of x that satisfy(5x− 6)|2x− 4|

x> 0. Express your solution in both set notation

and interval notation.

Page 3 of 4

Precalculus: Solving Inequalities in One Variable Practice Problems

3. Using a sign chart, find the values of x that satisfy(4x + 7)

√1− x

x + 10≤ 0. Express your solution in both set notation and

interval notation.

Page 4 of 4