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 in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 4 means x is less than 4.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 5 means x is greater than or equal to 5.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 2 means x is less than or equal to 2.

Front

How do you solve the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides: 4x > 12. Then divide by 4: x > 3.

Front

If a parking garage charges $4.50 per hour, how do you express the maximum hours you can park with $18?

Back

You can park for x ≤ 4 hours, since 4.50x ≤ 18.

Front

What does a number line graph representing x < -4 look like?

Back

It shows an open circle at -4 and a line extending to the left, indicating all numbers less than -4.

Front

How do you represent the solution to the inequality 5w ≥ 30 on a number line?

Back

It shows a closed circle at 6 (since w ≥ 6) and a line extending to the right.

Front

When do you flip the inequality symbol?

Back

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