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 often involves addition or subtraction followed by multiplication or division.

Front

When graphing the inequality b < 6, should you use an open or closed circle?

Back

Open circle.

Front

What does the inequality 71 - 3.5x < 50 represent in a real-world context?

Back

It represents the situation where the temperature in an ice rink, starting at 71°F, decreases by 3.5°F every hour until it falls below 50°F.

Front

How do you represent Triniti's savings situation with an inequality?

Back

500 - 25x ≥ 200, where x is the number of weeks.

Front

What is the solution to the inequality 6t + 4 ≤ -2?

Back

t ≤ -1.

Front

What does the inequality 15 + 6x ≤ 100 represent?

Back

It represents the maximum number of people Andrea can invite to play laser tag at Lazer Zone, where she spends $15 plus $6 per person.

Front

What is the first step to solve the inequality 3x + 5 < 14?

Back

Subtract 5 from both sides to get 3x < 9.

Front

What does it mean if an inequality has an open circle on a number line?

Back

It means that the number is not included in the solution set.

Front

What is the difference between ≤ and < in inequalities?

Back

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

Front

How do you solve the inequality 4x - 7 > 5?

Back

Add 7 to both sides to get 4x > 12, then divide by 4 to find x > 3.