One Variable Inequalities

Front

What symbol is used for an open dot when graphing an inequality?

Back

<, >

Front

What symbols are used for a closed dot when graphing an inequality?

Back

≤, ≥

Front

How do you solve the inequality 6x - 4 ≥ 26?

Back

x ≥ 5

Front

What is the definition of a one-variable inequality?

Back

An inequality that involves only one variable and shows the relationship between that variable and a number.

Front

What does the solution of an inequality represent on a number line?

Back

The set of all numbers that satisfy the inequality.

Front

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

Back

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

Front

How do you graph the inequality x < 3?

Back

Draw a number line, place an open dot at 3, and shade to the left.

Front

What is the solution set of the inequality x ≥ -2?

Back

All numbers greater than or equal to -2.

Front

What does it mean to 'isolate the variable' in an inequality?

Back

To manipulate the inequality so that the variable is on one side and the constant is on the other.

Front

What happens to the inequality sign when you multiply or divide by a negative number?

Back

The inequality sign flips direction.