Flashcard - Compound Inequalities & Absolute-Value Inequalities

Front

What compound inequality does the graph represent? Options: x < 2 OR x > 6, x < 2 OR x > 6, 2 < x < 6, 2 < x < 6

Back

x < 2 OR x > 6

Answer explanation

Which kind of graph shades outward?

Front

What compound inequality does the graph represent? Options: x < 8 OR x > 12, x < 8 OR x > 12, 8 < x < 12, 8 < x < 12

Back

8 < x < 12

Answer explanation

Which kind of graph shades inward?

Front

Graph representing the compound inequality: 5 < x < 10

Back

Answer explanation

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

Front

Graph representing the compound inequality: x < 11 OR x > 15

Back

Answer explanation

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

Front

Solve the compound inequality: -4 < x + 5 < 10

Back

-9 < x < 5

Answer explanation

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

Front

Graph representing the solution to the compound inequality: 5 < 3x - 1 < 20

Back

Answer explanation

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

Front

Solve the compound inequality: 4x > 20 OR x + 5 < 5

Back

x < 0 OR x > 5

Answer explanation

Solve each inequality individually.

Front

Graph representing the solution to the compound inequality: 2x - 4 > 12 OR 3x - 6 < -18

Back

Answer explanation

Solve each inequality individually.

Front

Solve the absolute-value equation: I x + 3 I = 11

Back

x = -14, x = 8

Answer explanation

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

Front

Solve the absolute-value equation: |4x - 8| = 36

Back

x = -7, x = 11

Answer explanation

Remember to separate into two equations.