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.

Front

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

Back

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

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.

Front

Solve the inequality -2x ≥ 22.

Back

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

Front

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

Back

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

Front

Solve the inequality -5m < 10.

Back

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

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.

Front

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

Back

Add 5 to both sides: 4x > 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.