Solving Inequalities in One Variable

Match the following inequalities to the number line that best represents the solution set.

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• 
• 
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What inequality does the number line graph represent?

• x ≤ 4

• x ≥ -4

• x < -4

• x < 4

When you graph an inequality, you used a closed dot when you use which symbols?

• ≤, ≥ 

• <, >

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

• <, >

• ≤, ≥ 

Match the graph with its inequality.

• 11 < a

• 11 > a

•  11 ≤ a

•  11 ≥ a

At most and No more than are both clue words for...

• <

• >

• ≤

• ≥

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

• s < 55

• s > 55

• s ≤ 55

• s ≥ 55

6 + 2h > 30

• h < 24

• 18 > h

• h > 12

• h < -12

-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Write the phrase as an expression.
twice a number x plus 8 is greater than 12

• 2 + 8x < 12

• 2x + 8 > 12

• 2(x+8) ≠ 12

• 8(2+x)