Writing & Solving 2 Step Inequalities (No Negatives)

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 6t + 4 ≤ -2?

Back

Subtract 4 from both sides: 6t ≤ -6. Then divide by 6: t ≤ -1.

Front

What does the inequality 1650 - 8w ≥ 450 represent?

Back

It represents the amount Fred can spend each week on his hike while ensuring he has at least $450 left after 8 weeks.

Front

If Daniel can spend no more than $40 at the fair, what does the inequality 1.50x + 10 ≤ 40 mean?

Back

It means that after paying $10 for admission, Daniel can spend $1.50 for each ride, and the total must not exceed $40.

Front

What is the solution to the inequality 25 < X - 10?

Back

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

Front

How do you solve the inequality 6t + 4 ≤ 22?

Back

Subtract 4 from both sides: 6t ≤ 18. Then divide by 6: t ≤ 3.

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 does it mean if an inequality is written as t ≥ 3?

Back

It means that the value of t is greater than or equal to 3.

Front

What is the difference between ≤ and < in inequalities?

Back

The symbol ≤ means 'less than or equal to', while < means 'less than' only.

Front

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

Back

You can substitute the solution back into the original inequality to see if it holds true.