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 '≤' represent?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '≥' represent?

Back

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

Tags

CCSS.6.EE.B.8

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Tags

CCSS.6.EE.B.8

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 4x - 10 ≤ 22?

Back

To solve, add 10 to both sides to get 4x ≤ 32, then divide by 4 to find x ≤ 8.

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 the inequality by a negative number.

Tags

CCSS.6.EE.B.8

Front

Does the sign need to flip when solving the inequality 8y < -40?

Back

No, the sign does not need to flip because you are dividing by a positive number.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality 2x + 3 < 7?

Back

First, solve for x: 2x < 4, so x < 2. Then, graph a number line with an open circle at 2 and shade to the left.

Tags

CCSS.6.EE.B.8

Front

What is the solution set of the inequality -2x + 2 > 3x - 8?

Back

The solution set is x < 2.