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 'greater than'. It indicates that the value on the left is larger than the value on the right.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '<' means 'less than'. It indicates that the value on the left is smaller than the value on the right.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≥' means 'greater than or equal to'. It indicates that the value on the left is either larger than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

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

Back

The symbol '≤' means 'less than or equal to'. It indicates that the value on the left is either smaller than or equal to the value on the right.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 3x + 7 < 22?

Back

Subtract 7 from both sides to get 3x < 15, then divide by 3 to find x < 5.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -6x - 4 > -40?

Back

Add 4 to both sides to get -6x > -36, then divide by -6 (remember to flip the inequality sign) to find x < 6.

Tags

CCSS.6.EE.B.8

Front

When do you use an open circle on a graph for an inequality?

Back

An open circle is used when the inequality is > or <, indicating that the endpoint is not included in the solution.

Tags

CCSS.6.EE.B.8

Front

When do you use a closed circle on a graph for an inequality?

Back

A closed circle is used when the inequality is ≥ or ≤, indicating that the endpoint is included in the solution.

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 when you multiply or divide both sides of an inequality by a negative number.

Tags

CCSS.6.EE.B.8