Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using inequality symbols such as <, >, ≤, or ≥.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

What does the symbol '≤' mean?

Back

'≤' means 'less than or equal to'.

Front

When graphing the inequality x ≥ 1, what type of circle is used?

Back

A closed circle is used to indicate that 1 is included in the solution.

Front

When graphing the inequality x < 1, what type of circle is used?

Back

An open circle is used to indicate that 1 is not included in the solution.

Front

What is the solution set for the inequality h ≥ 48?

Back

The solution set includes all values of h that are 48 or greater.

Front

How do you solve the inequality 8y < -40?

Back

Divide both sides by 8 to get y < -5.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips when you multiply or divide both sides by a negative number.

Front

Write an inequality for the statement: 'You can have no more than 10 apples.'

Back

a ≤ 10, where a represents the number of apples.

Front

What is the graph of the inequality x > 3?

Back

A number line with an open circle at 3 and a line extending to the right.