Solving Inequalities with Lines

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Which graph represents the inequality 2x - 3 < -7

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• 
• 
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what does the number line show

• x = 3

• x > 3

• x < 3

•  x > 6

which is the correct choice

• 1

• 2

• 3

• 4

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥ 

Thirty-six plus twice an integer, p, is more than fifteen minus p. Find the smallest possible value of p.

A bike rental shop has two plans for a cyclist to choose from.

a. For how long should a cyclist rent a bike, in order for Plan B to be cheaper?

Which of the following inequalities matches the graph?

• y < -4x - 1

• y > -4x - 1

• y ≤ -4x - 1

• y ≥ -4x - 1

Which of the following inequalities matches the graph?

• y ≤ 3/4x + 5

• y ≥ 3/4x + 5

• y < 3/4x + 5

• y > 3/4x + 5

Which of the following inequalities matches the graph?

• y ≥ x + 2

• y ≤ x + 2

• y > x + 2

• y < x + 2