Solving Inequalities

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 8 means x can be any number less than or equal to 8.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x can be any number greater than or equal to 2.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality -5m < 10?

Back

Divide both sides by -5 and flip the inequality sign: m > -2.

Tags

CCSS.6.EE.B.8

Front

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

Back

The inequality sign flips. For example, if you have -x < 4 and divide by -1, it becomes x > -4.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality 3x - 2 < 13.

Back

Add 2 to both sides: 3x < 15. Then divide by 3: x < 5.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality x + 5 ≤ 13.

Back

Subtract 5 from both sides: x ≤ 8.

Tags

CCSS.7.EE.B.4B

Front

Back

Multiply both sides by 2: b < 26.

Tags

CCSS.6.EE.B.8