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.

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

What does the symbol '>' mean?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' mean?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≤' mean?

Back

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

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality x + 5 ≤ 13?

Back

Subtract 5 from both sides: x ≤ 8.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality -2x + 3 > -7?

Back

Add 7 to both sides and then subtract 3: -2x > -4, so x < 2.

Tags

CCSS.7.EE.B.4B

Front

How can you represent the inequality 30x + 600 ≥ 1,500?

Back

This represents that the total amount raised by 30 members must be at least $1,500.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality 2x + 3 < 11?

Back

Subtract 3 from both sides: 2x < 8.

Tags

CCSS.7.EE.B.4B

Front

What does a number line graph of x ≥ 3 look like?

Back

A solid dot at 3 and a line extending to the right.

Tags

CCSS.6.EE.B.8