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 often involves addition or subtraction followed by multiplication or division.

Front

How do you solve the inequality: 2 - 3x ≤ 20?

Back

x ≥ -6

Front

What is the first step to solve the inequality: -6 - 3n < -36?

Back

Add 6 to both sides to get -3n < -30.

Front

What is the solution to the inequality: 7n - 1 > 76?

Back

n > 11.

Front

How do you graph the solution of an inequality?

Back

Use a number line to represent the solution set, with an open circle for < or > and a closed circle for ≤ or ≥.

Front

What does the inequality -8k - 4 ≤ -60 simplify to?

Back

k ≥ 7.

Front

What is the solution to the inequality: 6t + 4 ≤ -2?

Back

t ≤ -1.

Front

What does it mean if an inequality has no solution?

Back

It means there are no values for the variable that can satisfy the inequality.

Front

What is the difference between ≤ and < in inequalities?

Back

≤ means 'less than or equal to', while < means 'less than' only.

Front

How do you check your solution for an inequality?

Back

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