Solving Multi Step Inequalities

Front

What is a multi-step inequality?

Back

An inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

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

Back

It means 'less than or equal to', indicating that the value can be less than or exactly equal to a specified number.

Front

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

Back

It means 'greater than or equal to', indicating that the value can be greater than or exactly equal to a specified number.

Front

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

Back

By using an open dot for '>' or '<' and a closed dot for '≥' or '≤', along with shading the appropriate direction.

Front

Solve the inequality: 3x + 5 > 14

Back

x > 3.

Front

What is the first step in solving the inequality: 2(x - 4) < 10?

Back

Distribute the 2 to get 2x - 8 < 10.

Front

When solving inequalities, what do you do when you multiply or divide by a negative number?

Back

You must reverse the inequality sign.

Front

Solve the inequality: 5 - 2x ≤ 3.

Back

x ≥ 1.

Front

What is the solution to the inequality: 4x + 1 > 2x + 9?

Back

x > 4.

Front

How do you graph the inequality: x < -2?

Back

Use an open dot at -2 and shade to the left.