Solving 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 on one side of the inequality.

Front

How do you solve the inequality 2x + 6 ≥ -8?

Back

Subtract 6 from both sides: 2x ≥ -14. Then divide by 2: x ≥ -7.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'.

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): x ≥ -10.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you solve the inequality -4x + 1 > 21?

Back

Subtract 1 from both sides: -4x > 20. Then divide by -4 (flip the inequality): x < -5.

Front

What is the solution to the inequality 7k – 2 ≥ -9?

Back

Add 2 to both sides: 7k ≥ -7. Then divide by 7: k ≥ -1.

Front

How do you interpret the solution x < -5?

Back

This means that x can be any number less than -5.

Front

What is the solution to the inequality 11 > -3y + 2?

Back

Subtract 2 from both sides: 9 > -3y. Then divide by -3 (flip the inequality): -3 < y.

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.