Compound inequalities

Front

What is a compound inequality?

Back

A compound inequality is an inequality that combines two or more simple inequalities using the words 'and' or 'or'.

Front

Solve: 3x + 2 < -7 or -4x + 5 < 1

Back

x < -3 or x > 1

Front

What does 'and' mean in compound inequalities?

Back

In compound inequalities, 'and' indicates that both conditions must be true simultaneously.

Front

What does 'or' mean in compound inequalities?

Back

In compound inequalities, 'or' indicates that at least one of the conditions must be true.

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

Write an inequality for the graph showing x ≤ -2 or x > 5.

Back

x ≤ -2 or x > 5

Front

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

Back

-9 < x < 5

Front

How do you graph a compound inequality with 'or'?

Back

Graph each inequality separately and shade the regions that satisfy either inequality.

Front

How do you graph a compound inequality with 'and'?

Back

Graph both inequalities on the same number line and shade the region where both inequalities overlap.

Front

What is the difference between '≤' and '<'?

Back

'≤' means 'less than or equal to', while '<' means 'less than' only.