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 operations like addition, subtraction, multiplication, or division.

Front

How do you isolate a variable in a multi-step inequality?

Back

To isolate a variable, perform inverse operations on both sides of the inequality, similar to solving an equation, while remembering to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the inequality symbol '≤' mean?

Back

The symbol '≤' means 'less than or equal to', indicating that the value on the left can be less than or equal to the value on the right.

Front

What does the inequality symbol '≥' mean?

Back

The symbol '≥' means 'greater than or equal to', indicating that the value on the left can be greater than or equal to the value on the right.

Front

Solve the inequality: -4x + 14 ≤ 54. What is x?

Back

x ≥ -10.

Front

Solve the inequality: 9 ≥ -2m + 2 - 3. What is m?

Back

m ≥ -5.

Front

Solve the inequality: 3 < -5n + 2n. What is n?

Back

n < -1.

Front

What does a number line graph represent in inequalities?

Back

A number line graph visually represents the solutions to an inequality, showing all possible values that satisfy the inequality.

Front

Solve the inequality: -2(x + 2) < 14. What is x?

Back

x > -9.

Front

What is the first step in solving a multi-step inequality?

Back

The first step is to simplify both sides of the inequality if necessary, by combining like terms or distributing.