2 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. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -2x ≤ 14?

Back

Divide both sides by -2 (remember to flip the inequality sign): x ≥ -7.

Front

What does the inequality 7b - 3 < 11 represent?

Back

It represents a condition where the expression 7b - 3 is less than 11. Solving it gives b < 2.

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 an inequality by a negative number.

Front

How do you solve the inequality 4x - 2 ≤ -22?

Back

Add 2 to both sides: 4x ≤ -20, then divide by 4: x ≤ -5.

Front

What is the solution to the inequality 3x + 4 > 13?

Back

Subtract 4 from both sides: 3x > 9, then divide by 3: x > 3.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to', indicating that the value can be either less than or equal to the number.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than', indicating that the value must be strictly greater than the number.

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.

Front

What is the first step in solving the inequality 5x + 3 > 18?

Back

Subtract 3 from both sides: 5x > 15.