Writing 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

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

How do you write an inequality for a situation where a total amount is not exceeded?

Back

You write an inequality by expressing the total amount as a sum of the costs and setting it less than or equal to the maximum amount.

Front

What does the inequality x + 5 < 7 represent?

Back

It represents that a number x increased by 5 is less than 7.

Front

How can you represent a situation where a person withdraws money weekly from an account?

Back

You can represent it with an inequality that shows the initial amount minus the product of the withdrawal amount and the number of weeks is greater than or equal to the desired amount.

Front

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

Back

The first step is to isolate the term with the variable by performing the opposite operation (addition or subtraction) on both sides.

Front

What does the inequality 500 - 25x ≥ 200 represent?

Back

It represents that Triniti wants to have at least $200 left in her account after withdrawing $25 each week.

Front

How do you solve the inequality -3x ≥ 12?

Back

First, divide both sides by -3, which flips the inequality sign, resulting in x ≤ -4.

Front

What is the solution set of the inequality x + 5 < 7?

Back

The solution set is all values of x that are less than 2.

Front

What is the significance of the '≥' sign in an inequality?

Back

The '≥' sign indicates that the value on the left is greater than or equal to the value on the right.