Two-step inequalities

Front

What is a two-step inequality?

Back

A two-step inequality is an inequality that requires two operations to isolate the variable. It typically involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality -n + 8 < 26?

Back

n > -18

Front

What does the inequality 2x + 6 ≥ -8 represent?

Back

It represents that the value of x must be greater than or equal to -7.

Front

What is the first step to solve the inequality -3x - 4 < 5?

Back

Add 4 to both sides to get -3x < 9.

Front

Back

u ≤ 14

Front

What does the inequality x > -3 indicate about the value of x?

Back

It indicates that x can be any number greater than -3.

Front

What is the process to isolate the variable in a two-step inequality?

Back

First, perform the inverse operation of addition or subtraction, then perform the inverse operation of multiplication or division.

Front

What is the significance of the direction of the inequality sign?

Back

The direction of the inequality sign indicates the relationship between the two sides of the inequality, showing whether one side is greater than or less than the other.

Front

How do you graph the solution of an inequality like x ≥ -7?

Back

You would draw a number line, shade to the right of -7, and place a closed dot on -7 to indicate that -7 is included in the solution.

Front

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

Back

The inequality sign flips direction when you multiply or divide both sides by a negative number.