GVMS - 7.13 Solving two step inequalities

-4x + 14 ≤ 54

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

-9a - 1 < 26

• a < -3

• a < 3

• a > -3

• a > 3

• x < -20

• x > -20

• x > 20

• x < 20

• x > 3

• x ≤ ⅕

• x ≥ 3

• x ≤ ⅕

11 > -3y + 2

• -3 > y

• -3 < y

• 3 > y

• 3 < y

2x + 6 ≥ -8

• x ≥ -7
• x ≤ -7
• x ≥ -10 
• x ≤ -10

Do I need to flip my sign?

-3x + 6 ≥ 12

• Yes, because I'll be dividing by a negative number on both sides of the inequality.

• Yes, because I will be subtracting by 6 on both sides of the inequality.

• No, because we are not multiplying or dividing by a negative number on both sides of the inequality.

Solve for u. 

 $\frac{u}{7}-1\le1$  

• - 14 ≥ u

• 14 ≤ u

• u ≤ 14

• u ≤ -14

6 + x/3 ≤ 7

• x ≥ 39
• x ≤ 39
• x ≥ 3
• x ≤ 3

Solve and graph the inequality.
-2 + ^m/₄  ≤ -7

• A
• B
• C
• D