Two Step Inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

When do you flip the inequality sign?

Back

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

Front

How do you solve the inequality -3x ≥ 12?

Back

To solve -3x ≥ 12, divide both sides by -3 (flipping the sign): x ≤ -4.

Front

What is the solution to the inequality 5x < 5?

Back

The solution is x < 1.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9, then divide by -3 (flipping the sign): x > -3.

Front

What does the inequality 22 < 6c + 4 represent?

Back

It represents that 6c + 4 must be greater than 22.

Front

How do you isolate c in the inequality 22 < 6c + 4?

Back

Subtract 4 from both sides: 18 < 6c, then divide by 6: 3 < c or c > 3.

Front

What is the solution to the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides: 2k ≤ -10, then divide by 2: k ≤ -5.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than, less than, or not equal to another.

Front

What does it mean if an inequality has no solution?

Back

It means that there are no values for the variable that can satisfy the inequality.