2-step Inequalities

Front

What is a 2-step inequality?

Back

A 2-step inequality is an inequality that requires two operations to isolate the variable. It often involves addition or subtraction followed by multiplication or division.

Front

Solve for k: 2k - 9 ≤ -19

Back

k ≤ -5

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

What does it mean when an inequality is written as 'a > -3'?

Back

It means that the value of 'a' is greater than -3.

Front

Solve for a: -9a - 1 < 26

Back

a > -3

Front

What is the solution set for the inequality x ≥ 12?

Back

The solution set includes all real numbers greater than or equal to 12.

Front

Solve for x: 3x - 2 ≥ 34

Back

x ≥ 12

Front

What is the first step to solve the inequality 2k - 9 ≤ -19?

Back

Add 9 to both sides of the inequality.

Front

What is the importance of reversing the inequality sign?

Back

The inequality sign must be reversed when multiplying or dividing both sides by a negative number.

Front

Solve for k: 5k + 3 < 18

Back

k < 3