Solving Two Step Inequalities

Front

What is a two-step inequality?

Back

An inequality that requires two operations to isolate the variable.

Tags

CCSS.6.EE.B.8

Front

When do you flip the inequality sign?

Back

You flip the sign when you multiply or divide both sides by a negative number.

Tags

CCSS.6.EE.B.8

Front

What does the inequality symbol '>' mean?

Back

It means 'greater than'.

Tags

CCSS.6.EE.B.8

Front

What does the inequality symbol '<' mean?

Back

It means 'less than'.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 3x + 5 < 20?

Back

Subtract 5 from both sides: 3x < 15, then divide by 3: x < 5.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality -2x > 8?

Back

Divide by -2 (flip the sign): x < -4.

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality x > 3?

Back

Draw a number line, put an open circle on 3, and shade to the right.

Tags

CCSS.6.EE.B.8

Front

What does the solution x ≤ 4 represent on a number line?

Back

It includes all numbers less than or equal to 4, with a closed circle on 4.

Tags

CCSS.6.EE.B.8

Front

What is the first step in solving the inequality 5n - 3 < 12?

Back

Add 3 to both sides: 5n < 15.

Tags

CCSS.7.EE.B.4B

Front

What is the solution to the inequality 7 - 2x ≤ 1?

Back

Subtract 7 from both sides: -2x ≤ -6, then divide by -2 (flip the sign): x ≥ 3.

Tags

CCSS.6.EE.B.8