Solving 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 2 - 3x ≤ 20?

Back

Subtract 2 from both sides: -3x ≤ 18. Then divide by -3 (remember to flip the inequality): x ≥ -6.

Front

What does the solution x ≥ -6 mean in a real-world context?

Back

It means that the value of x can be any number greater than or equal to -6.

Front

How do you solve the inequality -9a - 1 < 26?

Back

Add 1 to both sides: -9a < 27. Then divide by -9 (flip the inequality): a > -3.

Front

What does the solution a > -3 indicate?

Back

It indicates that a can be any number greater than -3.

Front

How do you solve the inequality 25 < X - 10?

Back

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

Front

What is the meaning of the inequality X > 35?

Back

It means that X can take any value greater than 35.

Front

How do you represent the situation: Samantha had $22.50 and now has more than $32.00?

Back

The inequality is represented as 22.50 + x > 32.

Front

What does the inequality 22.50 + x > 32 signify?

Back

It signifies that the amount of money Samantha received (x) plus her initial amount must be greater than $32.

Front

How do you solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides: -3x < 9. Then divide by -3 (flip the inequality): x > -3.