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, typically involving 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 inequality 22.50 + x > 32 represent?

Back

It represents that Samantha received more than $9.50 over the weekend.

Front

How do you solve the inequality 25 < X - 10?

Back

Add 10 to both sides: 35 < X, or X > 35.

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.

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

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

Back

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

Front

What is the solution set for the inequality x > -3?

Back

The solution set includes all real numbers greater than -3.

Front

How do you check the solution of an inequality?

Back

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

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.