Inequalities & Absolute Value

Solve: 3x + 7 > 25

• $\left(6,\infty\right)$

• $\left(\infty,6\right)$

• x = 6

• $\left[6,\infty\right]$

Solve: $5<3x-1\le20$ 

•  $\left(2,\frac{19}{3}\right]$  

•  $\left(2,7\right]$  

•  $\left[2,7\right)$  

•  $\left(-\infty,2\right]$  

 $6x+7\ge4x+19$  Solve:

•  $\left[13,\infty\right)$  

•  $\left(-\infty,6\right]$  

•  $\left(6,\infty\right)$  

•  $\left[6,\infty\right)$  

 $7\left(x+3\right)+2\left(x-5\right)<29$  

•  $\left(-\infty,2\right)$  

•  $\left(2,\infty\right)$  

•  $\left(2,-\infty\right)$  

• No Solution

The sum of two consecutive integers is 35. What are the two numbers?

• 13, 14

• 14, 15

• 16, 17

• 17, 18

The sum of two consecutive integers is 51. What equation represents this?

• x + (x + 2) = 51

• x + 2x = 51

• x + (x + 1) = 51

• x + 51 = y

The Absolute Value of ANY number is ALWAYS:

• Positive

• Negative

• Rational

• Imaginary

What is: $\left|-9\right|$  

• -9

• 9

• 3

• No Solution

What is: $-\left|-2\right|$ 

• 2

• -2

•  $\frac{1}{2}$  

• No Solution

 $\left|x+3\right|=8$  

• x = 5

• x = 5, -5

• x = 5, 11

• x = 5, -11