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, typically involving addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality 5x < 5?

Back

To solve 5x < 5, divide both sides by 5 to get x < 1.

Front

What is the first step in solving the inequality 22 < 6c + 4?

Back

The first step is to subtract 4 from both sides, resulting in 18 < 6c.

Front

How do you isolate the variable in the inequality 6c > 18?

Back

To isolate c, divide both sides by 6, resulting in c > 3.

Front

What does the inequality 6 > x represent on a number line?

Back

The inequality 6 > x represents all numbers less than 6 on a number line.

Front

What is the solution to the inequality 7n - 1 > 76?

Back

Add 1 to both sides to get 7n > 77, then divide by 7 to find n > 11.

Front

How do you graph the solution of the inequality x < 1?

Back

To graph x < 1, draw a number line, place an open circle at 1, and shade to the left.

Front

What is the difference between a closed circle and an open circle on a number line?

Back

A closed circle indicates that the number is included in the solution (≤ or ≥), while an open circle indicates that the number is not included (< or >).

Front

What does the inequality 3 < c mean in terms of c?

Back

The inequality 3 < c means that c is any number greater than 3.

Front

How do you check your solution for the inequality 5x < 5?

Back

To check the solution, substitute a value less than 1 into the original inequality and verify that it holds true.