Linear Inequalities Compound

What inequality is graphed?

• x > 2 and x < 4

• x ≥ 2 and x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

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

• A

• B

• C

• D

• A

• B

• C

• D

The solution set of an inequality is shown on the number line to the right. The graph shows the solution to which equality?

The solution set of an inequality is shown on the number line to the right. The graph shows the solution to which inequality?

• 2x + 7 > 15

• 2x + 7 < 15

Molly has a goal of saving more than $1,850. She had $400 saved now, and each month she adds $35 to that amount. The inequality 35m + 400 > 1,850 can be solved to find the number of months, m, it will take Molly to reach her goal. Which statement about the number of months it will take Molly to reach her goal is true?

• It will take less than 41 months for Molly to reach her goal.

• Molly will reach her goal in 41 months.

• Molly will reach her goal in 42 months.

• It will take more than 42 months for Molly to reach her goal.

• A

• B

• C

• D

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Solve:  
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