2-Step Inequality Practice

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable. For example, in the inequality 2x + 3 < 7, you would first subtract 3 and then divide by 2.

Front

What does the symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to'. It indicates that a value can be either less than or exactly equal to another value.

Front

What does the symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to'. It indicates that a value can be either greater than or exactly equal to another value.

Front

How do you represent an inequality on a number line?

Back

To represent an inequality on a number line, use an open dot for '>' or '<' and a closed dot for '≥' or '≤'. Draw a line to indicate the range of values.

Front

What is the solution to the inequality 5x - 2 > 3?

Back

x > 1.

Front

What is the solution to the inequality 3x + 4 ≤ 10?

Back

x ≤ 2.

Front

When do you use a closed dot on a number line?

Back

You use a closed dot on a number line when the inequality includes '≤' or '≥', indicating that the endpoint is included.

Front

When do you use an open dot on a number line?

Back

You use an open dot on a number line when the inequality includes '>' or '<', indicating that the endpoint is not included.

Front

What is the first step to solve the inequality 4x - 5 < 11?

Back

The first step is to add 5 to both sides of the inequality.

Front

What is the solution to the inequality -2 ≥ n?

Back

n ≤ -2.