Solving Multistep Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

How do you solve a multistep inequality?

Back

To solve a multistep inequality, isolate the variable on one side by performing inverse operations, similar to solving an equation, while maintaining the direction of the inequality.

Front

What does it mean to reverse the inequality sign?

Back

The inequality sign is reversed when both sides of the inequality are multiplied or divided by a negative number.

Front

Solve the inequality: 3x - 5 < 10.

Back

x < 5.

Front

What is the first step in solving the inequality: 2(x + 3) > 12?

Back

Distribute the 2: 2x + 6 > 12.

Front

What is the solution to the inequality: -4x + 8 ≤ 0?

Back

x ≥ 2.

Front

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

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the appropriate direction.

Front

What is the meaning of the solution x > 3?

Back

It means that x can be any number greater than 3.

Front

Write an inequality for the following scenario: You have $50 and want to buy x items that cost $5 each.

Back

5x ≤ 50.

Front

Solve the inequality: 7 - 2x > 1.

Back

x < 3.