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

Front

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

Back

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

Front

What does the inequality x ≤ -4 mean?

Back

It means that x can be any number less than or equal to -4.

Front

How do you represent the solution of x < 50 on a number line?

Back

An open circle at 50, shaded to the left.

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.

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Back

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

Back

x can be any number less than -4.

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Back

A closed circle at 14, shaded to the left.

Front

Back

Subtract 5 from both sides: -2x > -4. Then divide by -2 (flip the sign): x < 2.