Solving and or Linear Inequalities

2<x+2<5

• 0<x<3

• 4<x<7

• 4<x<3

• 0<x<7

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

-7x + 15 ≥ -20

• x ≥ -5

• x ≤ -5

• x ≥ 5

• x ≤ 5

solve 5( 6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

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

• A

• B

• C

• D

You need to save a minimum of $1200 to purchase your new laptop.  If you already have saved $400 and make 11 per hour, h, at your job, which inequality could be use to solve to determine how many hours you need to work to save enough money.

• 11h + 1200 ≥ 400

• 11h + 400 < 1200

• 11h + 400 > 1200

• 11h + 400 < 1200

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

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

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500

• 30x + 600 ≥ 1,500

• 30x + 600 < 1,500

• 30x + 600 < 1,500

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5