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 up to $40 on rides, where x is the number of rides.

Front

What is the first step to solve the inequality 6t + 4 ≤ 22?

Back

Subtract 4 from both sides to get 6t ≤ 18.

Front

What does the term 'solution set' mean in the context of inequalities?

Back

The solution set is the set of all values that satisfy the inequality.

Front

How do you graph the solution to the inequality t ≤ 3?

Back

You would draw a number line, shade to the left of 3, and place a closed circle on 3 to indicate that 3 is included.

Front

What is the significance of the inequality sign in 1650 - 8w ≥ 450?

Back

The '≥' sign indicates that the amount Fred can spend each week must be greater than or equal to the amount needed to ensure he has $450 left.

Front

What is the meaning of the inequality 8.50 + 1.50x ≤ 26.50?

Back

It means that after paying $8.50 for admission, the total cost of ride tickets (1.50 per ticket) cannot exceed $26.50.

Front

How do you isolate the variable in the inequality 1.50x + 10 ≤ 40?

Back

First, subtract 10 from both sides to get 1.50x ≤ 30, then divide by 1.50 to find x.