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. It often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -4x + 14 ≤ 54?

Back

Subtract 14 from both sides: -4x ≤ 40. Then divide by -4 (remember to flip the inequality sign): x ≥ -10.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign occurs when you multiply or divide both sides of an inequality by a negative number.

Front

Solve the inequality 3x + 2 > 14.

Back

Subtract 2 from both sides: 3x > 12. Then divide by 3: x > 4.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

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

Front

When do you flip the inequality sign?

Back

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

Front

Solve the inequality -2x + 7 < 19.

Back

Subtract 7 from both sides: -2x < 12. Then divide by -2 (flip the sign): x > -6.

Front

What is the solution set for x in the inequality x ≥ -10?

Back

The solution set includes all numbers greater than or equal to -10.

Front

What does the symbol '>' mean in inequalities?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' mean in inequalities?

Back

The symbol '<' means 'less than'.