Solving Linear Inequalities

-24 + k ≤ 10

• k ≤ 14

• 34 ≤ k

• k ≤ 34

• 14 ≤ k

-7 + 10z > -27

• z < -2

• z > -34

• 2 > z

• z > -2

Solve and graph the inequality.
77 ≤ 5 + 8n

• A

• B

• C

• D

Graph the solution set of the inequality.

–4n + 1 > –23

• 
• 
• 
• 

-2(x+2) < 14

• x < - 5

• x > -5

• x < -9

• x > -9

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?

• 1.75m + 0.75 ≥ 20

• 1.75m + 0.75 ≤ 20

• 0.75m + 1.75 ≥ 20

• 0.75m + 1.75 ≤ 20

Sue's lunch account has $25 and she spends $2.50 every day. Troy's lunch account has $50 and she spends $3.25 every day. Write an inequality that shows when Sue's account will be more than Troy's.

• 25 - 2.5d > 50 - 3.25d

• 25 - 2.5d < 50 - 3.25d

• 25 + 2.5d > 50 + 3.25d

• 25 + 2.5d < 50 + 3.25d

| x + 3 | ≤ 2

• No Solution

• All Real Numbers

• -5 ≤ x ≤ -1

• 1 ≤ x ≤ 5

4|5x-2|+7>39

• -6/5<x>2

• x=2 or x=-6/5

• x=2 and x=-6/5

• x<-6/5 or x>2

Solve.

|d + ⅔| + ¾ < 0

• no solution

• d > -9 and d < ½

• d > -¾ and d < 9

• d < -1/12 and d > -7/12