7th - Solving Inequalities 11/7

-4x + 14 ≤ 54

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

10 < 3x + 19

• x < 3
• x > 3
• x < -3
• x > -3

-7x + 15 ≥ -20

• x ≥ -5
• x ≤ -5
• x ≥ 5
• x ≤ 5

4x + 5 ≥ 41

• x ≥ 9
• x ≤ 9
• x ≥ 11.5
• x ≤ 11.5

Solve the following inequality. Show your algebraic work!

• b > 6

• b < -4

• b > 1

• b < -12

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Pick the correct inequality.

• A
• B
• C
• D

22 < 6c + 4

• 11>c
• 3>c
• 11<c
• 3<c

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D

Which is the solution of 
-6a ≥ -36

• a ≥ 6
• -6 ≥ a
• a ≤ 6
• 6 ≤ a