Inequalities

Solve the following 1-Step Inequality:  $\frac{x}{5}>\ 10$  

• x > 15

• x > 5

• x > 50

• x < 50

Solve the following 2-Step Inequality:

4x + 1 > 13

• x > 48

• x < 3

• x > 3.5

• x > 3

Solve the following 2-Step Inequality: $\frac{x}{6}+18\ \le20$  

•  $x\ge12$  

•  $x\le128$  

•  $x\le6.3$  

•  $x\le12$  

Combine Like Terms and then Solve the 2-Step Inequality: $\frac{x}{3}+12\ -\ 4\ >\ 20$  

• x > 12

• x > 84

• x > 24

• x > 36

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Solve.

• a > -24
• a > 6
• a > -36
• a > -10

Translate:

The sum of a number and 4 is at least -18.

• $4x\ge-18$

• $x+4>-18$

• $x-4\le-18$

• $x+4\ge-18$

Solve the inequality for w:
-5(w - 4) < -5w - 15

• w > 15
• All real numbers are solutions
• w < 5
• No solutions to this inequality