Solving Linear Inequalities

You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.

• 12x + 1200 > 400

• 12x + 400 < 1200

• 12x + 400 > 1200

• 12x + 400 < 1200

Do I need to flip my sign?

3x ≥ -12

• Yes

• No

Solve the double inequality:

-50 < 7k + 6 < -8

• -8 < k < -2

• 2 < k < 8

• -2 < k < 8

• -8 < k < 2

Solve: -3 ≤ 2x - 1 ≤ 5

• -1 ≤ x ≤ 3

• -2 ≤ x ≤ 6

• -3 ≤ x ≤ 3

• 1 ≤ x ≤ 3

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

• A
• B
• C
• D

x + 5 > 3

• x > -2

• x < 8

• x ≥ 2

• x ≥ 8

What inequality is graphed? 

• x > 2 and x ≤ -3

• x > 2 and x < -3

• x > 2 or x ≤ -3

• x > 2 or x < -3

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5

• x < -5 and x > 5

• x < -5 or x > 5 

• x > -5 and x < 5 

Give the solution set for: -13<2x+5<15

• -9>x>5

• -9

• -4

• -4>x>5