Compound Inequalities Exit Slip

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'. For example, x < 5 and x > 1.

Front

How do you solve a compound inequality of the form a ≤ x ≤ b?

Back

To solve a compound inequality of the form a ≤ x ≤ b, isolate x in the middle by performing the same operations on all parts of the inequality.

Front

Solve: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

What does the symbol 'AND' indicate in a compound inequality?

Back

The symbol 'AND' indicates that both conditions must be true at the same time. For example, x > 1 AND x < 5 means x must be greater than 1 and less than 5.

Front

What does the symbol 'OR' indicate in a compound inequality?

Back

The symbol 'OR' indicates that at least one of the conditions must be true. For example, x < 2 OR x > 4 means x can be less than 2 or greater than 4.

Front

Solve: 2 < x + 2 < 5

Back

0 < x < 3

Front

Can you use the symbols [ or ] with infinity?

Back

No, you cannot use the symbols [ or ] with infinity because infinity is not a specific number.

Front

What is the solution set for the inequality 5x + 1 < 21 OR 3x + 2 > -1?

Back

All real numbers

Front

What is the difference between 'AND' and 'OR' in compound inequalities?

Back

'AND' requires both conditions to be true, while 'OR' requires at least one condition to be true.

Front

Write an inequality for the graph that shows x ≤ -2 OR x > 5.

Back

x ≤ -2 OR x > 5