2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable, typically involving addition or subtraction followed by multiplication or division.

Front

Solve the inequality: 16 - 4a > 8

Back

a < 2

Front

What does the inequality 71 - 3.5x < 50 represent?

Back

It represents the time (x hours) it takes for the temperature in the ice rink to fall below 50°F, starting from 71°F and decreasing by 3.5°F each hour.

Front

If Daniel can spend no more than $40 at the fair, what is the inequality for the number of rides he can go on?

Back

1.50x + 10 ≤ 40, where x is the number of rides.

Front

What is the solution to the inequality -4x + 5 ≤ 29?

Back

x ≥ -6

Front

Define the term 'inequality'.

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What is the first step to solve the inequality 2 + 3n ≤ 14?

Back

Subtract 2 from both sides to isolate the term with n.

Front

What does the symbol '≤' mean in an inequality?

Back

It means 'less than or equal to'.

Front

How do you graph the inequality a < 2 on a number line?

Back

Draw an open circle at 2 and shade to the left to indicate all numbers less than 2.

Front

What is the solution set for the inequality 71 - 3.5x < 50?

Back

x > 6, meaning it will take more than 6 hours for the temperature to fall below 50°F.