Quiz - Compound Inequalities & Absolute-Value Inequalities

What compound inequality does the graph represent?

• x < 2 OR x > 6

• x < 2 OR x > 6

• 2 < 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

• x < 8 OR x > 12

• 8 < x < 12

• 8 < x < 12

Answer explanation

Which kind of graph shades inward?

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.

Solve the compound inequality:

-4 < x + 5 < 10

• -9 < x < 5

• 1 < x < 15

• -9 < x < 5

• 1 < x < 15

Answer explanation

Solve: -4 < x + 5 AND x + 5 < 10

Which graph represents the solution to the compound inequality:

5 < 3x - 1 < 20

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Answer explanation

Solve: 5 < 3x - 1 AND 3x - 1 < 20

Solve the compound inequality:

4x > 20 OR x + 5 < 5

• x < 0 OR x > 5

• x < 0 OR x > 5

• x < 10 OR x > 80

• x < 10 OR x > 80

Answer explanation

Solve each inequality individually.

Which graph represents the solution to the compound inequality:

2x - 4 > 12 OR 3x - 6 < -18

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Answer explanation

Solve each inequality individually.

Solve the absolute-value equation:

I x + 3 I = 11

• x = -14, x = 8

• x = -8, x = 14

• x < -14, x > 8

• x > -14, x < 8

Answer explanation

Solve: x + 3 = 11, x + 3 = -11

Solve the absolute-value equation:

I 4x - 8 I = 36

• x = -11, x = 7

• x = -7, x = 11

• x = -5, x = 4

• x = -4, x = 5

Answer explanation

Remember to separate into two equations.