Linear Inequalities Compound

Which of the following equations match the given graph?

• y  < 2/5x + 1

• y ≥ -2/5x + 1

• y ≤  2/5x + 1

• y ≥ -2/5x - 1

Tags

CCSS.HSA.REI.D.12

Write the linear inequality in standard form for this situation: In order to raise money to attend upcoming competitions, the Math Pentathalon team is selling apple cider and hot chocolate. They hope to make at least $240 by selling hot chocolate for $1 a glass and hot apple cider for $2 a glass.

• x + 2y < 240

• x + 2y > 240

• x + 2y ≤ 240

• x + 2y ≥ 240

What inequality is shown?
Pay close attention to the signs!

• x ≥ 0 OR x < 5

• 0 ≤ x ≤ 5

• 0 ≤ x < 5

• 0 ≥ x > 5

Solve and graph:

• A

• B

• C

• D

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)

Tags

CCSS.HSA.REI.D.12

Consider the function y < 2x+3. Which is true?

• The line would be solid with shading above.

• The line would be dashed with shading above.

• The line would be solid with shading below.

• The line would be dashed with shading below.

Tags

CCSS.HSA.REI.D.12

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

-8<2(x+4) or -3x+4>x-4

• No solutions

• x<-8 or x<2

• x>-8 or x<2

• x<-8 and x<2

3(x-2)<2(x+9)

• x<24

• x>-24

• x<12

• x>18

Solve the following compound inequality:

−8 < 2(x + 4) or −3x + 4 > x − 4

• No solutions

• x < −8 or x < 2

• x > −8 or x < 2

• x < −8 and x < 2