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, typically involving addition or subtraction followed by multiplication or division.

Front

Solve the inequality: 3x + 4 > 13

Back

x > 3

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

Solve the inequality: x/-4 + 2 > 7

Back

x < -20

Front

Solve the inequality: -9a - 1 < 26

Back

a > -3

Front

Solve the inequality: 4x - 2 ≤ -22

Back

x ≤ -5

Front

What does it mean to isolate a variable in an inequality?

Back

Isolating a variable means manipulating the inequality to get the variable alone on one side of the inequality sign.

Front

What is the first step in solving the inequality 2x + 5 < 15?

Back

Subtract 5 from both sides to get 2x < 10.

Front

What is the solution to the inequality: -3x + 6 > 0?

Back

x < 2

Front

How do you check the solution of an inequality?

Back

Substitute the solution back into the original inequality to see if it holds true.