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 -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (remember to flip the inequality): a > -3.

Front

What does the solution k ≥ -1 represent in a number line?

Back

It represents all numbers greater than or equal to -1, including -1 itself.

Front

How do you solve the inequality 16 - 4a > 8?

Back

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

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

What does the inequality -3y + 2 > 11 mean?

Back

It means that when you solve for y, the values of y must be less than -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.

Front

What is the solution set for the inequality a < 2?

Back

The solution set includes all real numbers less than 2.

Front

How do you check if your solution to an inequality is correct?

Back

Substitute a value from the solution set back into the original inequality to see if it holds true.