3.5.2 Simplifying Compound Inequalities

What compound inequality does the graph represent?

• x < 2 OR x > 6

• x < 2 OR x > 6

• 2 < x < 6

Answer explanation

Which kind of graph shades outward?

What compound inequality does the graph represent?

• x < 8 OR x > 12

• 8 < x < 12

• 8 < x < 12

Answer explanation

Which kind of graph shades inward?

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

What inequality is graphed? 

• x > -3 or x > 1

• x ≥ 3 and x ≤ 1

• x > -3 and x < 1

What inequality is graphed? 

• x < -2 or x ≥ 3

• x > -2 or x < 3

• x < 3 and x ≥ -2

What inequality is graphed? 

• x < 0 or x > 2

• x ≤ 0 or x ≥ 2

• x ≤ 0 or x > 2

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

• 0 ≤ x ≤ 5
• 0 ≤ x < 5
• 0 ≥ x > 5

Which compound inequality is graphed above?

• -2 < x ≤ 2
• -2 < x < 2
• -2 ≥ x < 2

Which graph represents the compound inequality:

5 < x < 10

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Answer explanation

When x is in the middle, what does that mean for the graph?

Which graph represents the compound inequality:

x < 11 OR x > 15

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Answer explanation

Need an OR graph. And the lines are under the symbols.