Solve Multistep Inequalities

Front

What is a multistep inequality?

Back

A multistep inequality is an inequality that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, or division.

Tags

CCSS.6.EE.B.8

Front

How do you solve the inequality 3x - 2 ≥ 34?

Back

Add 2 to both sides: 3x ≥ 36. Then divide by 3: x ≥ 12.

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

Solve the inequality -2x ≥ 22.

Back

Divide by -2 (flipping the sign): x ≤ -11.

Tags

CCSS.6.EE.B.8

Front

What is the solution to the inequality -8x < 48?

Back

Divide by -8 (flipping the sign): x > -6.

Tags

CCSS.6.EE.B.8

Front

Solve the inequality -5m < 10.

Back

Divide by -5 (flipping the sign): m > -2.

Tags

CCSS.6.EE.B.8

Front

How do you isolate the variable in the inequality 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Tags

CCSS.7.EE.B.4B

Front

What is the first step in solving the inequality 4x - 5 > 3?

Back

Add 5 to both sides: 4x > 8.

Tags

CCSS.6.EE.B.8

Front

What does it mean if an inequality has no solution?

Back

It means there are no values that can satisfy the inequality, often resulting in a contradiction.

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.

Tags

CCSS.6.EE.B.8