Inequality Test

Front

What is a compound inequality?

Back

A compound inequality combines two or more inequalities using 'and' or 'or'. For example, x ≤ 10 or x ≥ 65.

Front

How do you represent a situation where a runner is either 10 years old or younger, or 65 years old or older?

Back

The compound inequality is x ≤ 10 or x ≥ 65.

Front

Write an inequality for the number of gallons of water a family can buy if they need at least 2 gallons but no more than 8 gallons.

Back

The inequality is 2 ≤ x ≤ 8.

Front

What does the inequality x ≥ -5 mean in terms of a number line?

Back

It means that x can be any number greater than or equal to -5.

Front

When do you flip the inequality symbol?

Back

You flip the inequality symbol when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality: 7(x + 3) < 5x + 13

Back

The solution is x < -4.

Front

What does the symbol '≤' mean?

Back

It means 'less than or equal to'.

Front

What does the symbol '≥' mean?

Back

It means 'greater than or equal to'.

Front

If x < 3 and x > 1, what is the compound inequality?

Back

The compound inequality is 1 < x < 3.

Front

How would you express the statement 'x is at least 10' in inequality form?

Back

The inequality is x ≥ 10.