Solving 2-Step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 7k - 2 ≥ -9?

Back

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

Front

What does the symbol '≥' mean in inequalities?

Back

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

Front

How do you solve the inequality 6t + 4 ≤ -2?

Back

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

Front

What does the symbol '≤' mean in inequalities?

Back

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

Front

How do you solve the inequality 11 > -3y + 2?

Back

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

Front

What is the solution to the inequality 16 - 4a > 8?

Back

Subtract 16 from both sides: -4a > -8. Then divide by -4 (flip the inequality): a < 2.

Front

How do you solve the inequality 3(m + 7) < 28?

Back

Divide by 3: m + 7 < 28/3. Then subtract 7: m < 7/3.

Front

What is the first step in solving a 2-step inequality?

Back

The first step is usually to isolate the term with the variable by adding or subtracting a constant.

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 by a negative number.