Solving Inequalities

Front

What is the solution to the inequality x + 5 > 7?

Back

x > 2

Front

What symbols indicate the use of a closed dot when graphing an inequality?

Back

≤, ≥

Front

Solve the inequality -4x + 14 ≤ 54.

Back

x ≥ -10

Front

What symbols indicate the use of an open dot when graphing an inequality?

Back

<, >

Front

Which number line best represents the solution to the inequality 5w ≥ 30?

Back

C

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What does it mean to graph an inequality?

Back

Graphing an inequality involves representing the solutions of the inequality on a number line, using open or closed dots to indicate whether endpoints are included.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the endpoint, while non-strict inequalities (≤, ≥) do include the endpoint.

Front

How do you solve a one-variable inequality?

Back

To solve a one-variable inequality, isolate the variable on one side of the inequality sign using inverse operations.

Front

What is the significance of the direction of the inequality sign when solving inequalities?

Back

The direction of the inequality sign indicates the relationship between the two expressions and affects how the solution is interpreted.