Compound Inequalities

Front

What symbol is used for an open dot when graphing an inequality?

Back

<, >

Front

What is the solution set for the inequality -13 < 2x + 5 < 15?

Back

-9 < x < 5

Front

What inequality is represented by the graph showing x > 2 or x ≤ -3?

Back

x > 2 or x ≤ -3

Front

Solve the compound inequality: x + 2 < -4 or -5x < -15.

Back

x < -6 or x > 3

Front

What is the solution for the inequality -3 ≤ 2x - 1 ≤ 5?

Back

-1 ≤ x ≤ 3

Front

What does a closed dot represent when graphing inequalities?

Back

≤, ≥

Front

How do you combine two inequalities in a compound inequality?

Back

Use 'and' for intersection and 'or' for union.

Front

What is the difference between 'and' and 'or' in compound inequalities?

Back

'And' means both conditions must be true; 'or' means at least one condition must be true.

Front

What is the graphical representation of the inequality x < 3?

Back

A line extending left from 3 with an open dot at 3.

Front

How do you solve the compound inequality 2x - 3 < 5 and x + 1 > 2?

Back

x < 4 and x > 1, which simplifies to 1 < x < 4.