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?

Back

The symbol '<' means 'less than'. For example, 3 < 5 means 3 is less than 5.

Tags

CCSS.1.NBT.B.3

Front

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'. For example, 7 > 4 means 7 is greater than 4.

Tags

CCSS.1.NBT.B.3

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 10 means x can be any number less than or equal to 10.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. For example, y ≥ 5 means y can be any number greater than or equal to 5.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 7b - 3 < 11?

Back

Add 3 to both sides to get 7b < 14, then divide by 7 to find b < 2.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality 4x + 1 > 13?

Back

Subtract 1 from both sides to get 4x > 12, then divide by 4 to find x > 3.

Tags

CCSS.7.EE.B.4B

Front

When solving inequalities, 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 -2x ≥ 22 and divide by -2, it becomes x ≤ -11.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 6 > x?

Back

This can be rewritten as x < 6.

Tags

CCSS.6.EE.B.8

Front

How do you represent the solution of an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Tags

CCSS.6.EE.B.8