Solving Multi Step Inequalities

Front

What is a multi-step inequality?

Back

An inequality that requires more than one step to solve, involving operations such as addition, subtraction, multiplication, or division.

Front

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

Back

It means 'greater than'.

Front

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

Back

It means 'less than'.

Front

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

Back

It means 'greater than or equal to'.

Front

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

Back

It means 'less than or equal to'.

Front

How do you represent the solution to an inequality on a number line?

Back

By using a dot (closed or open) and shading the appropriate direction.

Front

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

Back

When the inequality includes '≤' or '≥', indicating that the endpoint is included.

Front

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

Back

When the inequality uses '<' or '>', indicating that the endpoint is not included.

Front

Solve the inequality: 3x - 5 < 4.

Back

x < 3.

Front

Solve the inequality: 2x + 6 ≥ 10.

Back

x ≥ 2.