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

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

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

Back

x < -3 or x > 1

Front

Write an inequality for Graph 4: (Graph shows a line from -2 to 5)

Back

-2 ≤ x ≤ 5

Front

What inequality is graphed if the line is between 2 and 4?

Back

2 ≤ x ≤ 4

Front

How do you solve a compound inequality?

Back

To solve a compound inequality, solve each part separately and then combine the results.

Front

What is the solution set for the inequality x < -3 or x > 1?

Back

The solution set includes all values less than -3 and all values greater than 1.

Front

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

Back

'x < a' means x is less than a, while 'x ≤ a' means x is less than or equal to a.