Linear inequalities (one variable)

Which of the following are solutions to  $\left|3x-9\right|\le24$  ? Check all that apply.

•  $11$  

•  $-11$  

•  $-5$  

•  $-6$  

•  $12$  

What is the first step to solve for x?

3 | 2x + 7| - 7 < -4

• divide both sides by 3

• add 7 to both sides

• subtract 7 from both sides

• divide both sides by 2

• -9 < x < 9

• x > -3 or x > 3

• -3 < x < 3

• x < -3 or x >3

In order to enter the kiddie rides at the amusement park, a child must be between the ages of 4 and 10. Let a represent the age of a child who may go on the kiddie rides.

• |a-14| less than or = 6

• |a+14| greater than or = 6

• |a-7| less than or = 3

• |a+7| greater than or = 3

For the inequality |4x - 3| > -4, what is the solution?

• All real numbers

• x > 0

• x < 0

• x = 0

 $\left|x-2\right|+8<10$  

•  $0<x<4$  

•  $x<0\ \ \ \ or\ \ x>4$  

Choose the third step in solving the following inequality. |n + 5| < 11

• Drop absolute value bars.

• Create two inequalities with opposite results.

• Subtract 5 from each side.

• Add 5 to each side.

• r > 11/4 or r < 9/4

• r > 5 or r ≤ 0

• r > 5 or r < 0

• r < -5 or r > 0

When k=_____,the inequality $\left(k+3\right)^{\left|k\right|-2}>0$  is a linear inequality in one variables x

• k=3

• k=2

• k=1

• k=0