Solving Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '>' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x is less than or equal to 10.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

How do you solve the inequality -8x < 48?

Back

Divide both sides by -8, remembering to flip the inequality sign: x > -6.

Front

What is the first step in solving the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Front

How can you represent the inequality for the choir's fundraising goal?

Back

The inequality is 30x + 600 ≥ 1,500, where x is the average amount each member can raise.

Front

What is the solution to the inequality 2x - 4 > 10?

Back

Add 4 to both sides: 2x > 14, then divide by 2: x > 7.

Front

What does it mean to graph an inequality on a number line?

Back

Graphing an inequality shows all the possible solutions on a number line, using open or closed circles to indicate whether endpoints are included.