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

What does 'and' mean in a compound inequality?

Back

In a compound inequality, 'and' means that both conditions must be true at the same time.

Front

What does 'or' mean in a compound inequality?

Back

In a compound inequality, 'or' means that at least one of the conditions must be true.

Front

How do you solve the compound inequality 3x + 2 < -7 or -4x + 5 < 1?

Back

The solution is x < -3 or x > 1.

Front

How do you solve the compound inequality -4x + 1 ≤ 21 and 5x + 2 < 22?

Back

The solution is x ≥ -5 and x < 4.

Front

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

Back

The symbols < and > are used for an open dot.

Front

What symbol is used for a closed dot when graphing inequalities?

Back

The symbols ≤ and ≥ are used for a closed dot.

Front

What is the solution set for the inequality x < 2?

Back

The solution set is all numbers less than 2.

Front

What is the solution set for the inequality x ≥ 3?

Back

The solution set is all numbers greater than or equal to 3.

Front

How do you graph the inequality x < -1?

Back

You draw a number line, place an open dot at -1, and shade to the left.