Inequalities

Front

What is an inequality?

Back

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

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality x + 3 < 10?

Back

Subtract 3 from both sides: x < 7.

Tags

CCSS.7.EE.B.4B

Front

What does the solution x > 5 represent on a number line?

Back

It represents all numbers greater than 5, shown with an open circle at 5 and shading to the right.

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 for '>' or '<' to indicate that the endpoint is not included.

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 for '≥' or '≤' to indicate that the endpoint is included.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality 3x ≤ 12.

Back

Divide both sides by 3: x ≤ 4.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality 2x + 1 > 5?

Back

Subtract 1 from both sides: 2x > 4, then divide by 2: x > 2.

Tags

CCSS.7.EE.B.4B

Front

What does the inequality h ≥ 48 represent in a real-world context?

Back

It means a person must be at least 48 inches tall to ride a ride.

Tags

CCSS.6.EE.B.8