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

Front

How do you solve the inequality -75 + 50x < 125?

Back

1. Add 75 to both sides: 50x < 200. 2. Divide by 50: x < 4.

Front

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

Back

It represents the amount of money Triniti has left after withdrawing $25 each week, ensuring she has at least $200 remaining.

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

What is the maximum number of text messages Amy can send if she has $12 to spend?

Back

x ≤ 35, where x is the number of text messages.

Front

How do you write an inequality for the number of tickets needed to raise at least $2000?

Back

300 + 10x ≥ 2000, where x is the number of tickets sold.

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 from both sides.

Front

What does the solution x > 10 mean in the context of an inequality?

Back

It means that the value of x must be greater than 10.

Front

What is the significance of the '≥' symbol in inequalities?

Back

The '≥' symbol means 'greater than or equal to', indicating that the value can be either greater than or exactly equal to the number.

Front

How do you check the solution of an inequality?

Back

You can check the solution by substituting the value back into the original inequality to see if it holds true.