Compound Inequalities test

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 the compound inequality: 2 < x + 2 < 5

Back

0 < x < 3

Front

What does the 'and' mean in a compound inequality?

Back

The 'and' means that both conditions must be true at the same time.

Front

Solve the compound inequality: 0 < x + 7 < 9

Back

-7 < x and x < 2

Front

What does the 'or' mean in a compound inequality?

Back

The 'or' means that at least one of the conditions must be true.

Front

Solve the compound inequality: -3 ≤ 2x - 1 ≤ 5

Back

-1 ≤ x ≤ 3

Front

What is the graphical representation of a compound inequality?

Back

It is represented on a number line with shaded regions indicating the solution set.

Front

How do you isolate x in a compound inequality?

Back

You perform the same operations on all parts of the inequality to keep it balanced.

Front

What is the solution set for the inequality p ≤ 50?

Back

The solution set includes all values of p that are less than or equal to 50.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoints, while non-strict inequalities (≤, ≥) do include the endpoints.