Solving & Graphing Multi-Step Inequalities

Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

When do you flip the inequality sign?

Back

You flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

Solve the inequality: 2x - 5 < 9.

Back

x < 7.

Front

What does the solution set of an inequality represent?

Back

The solution set represents all the values of the variable that make the inequality true.

Front

Graph the inequality: x > 4.

Back

A number line with an open circle at 4 and shading to the right.

Front

What is the solution to the inequality: -3x + 2 ≥ 11?

Back

x ≤ -3.

Front

How do you check if a number is a solution to an inequality?

Back

Substitute the number into the inequality and see if the statement is true.

Front

What does the inequality x ≤ 5 mean?

Back

It means that x can be any number less than or equal to 5.

Front

Solve the inequality: 5 - 2x > 1.

Back

x < 2.

Front

What is the first step in solving the inequality: 4x + 3 < 19?

Back

Subtract 3 from both sides: 4x < 16.