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

Solve the inequality: 16 - 4a > 8

Back

a < 2

Front

Solve the inequality: -3x - 4 < 5

Back

x > -3

Front

What inequality represents the situation: Samantha had $22.50 and now has more than $32.00?

Back

22.50 + x > 32

Front

Solve the inequality: 2 - 3x ≤ 20

Back

x ≥ -6

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

What does it mean when an inequality is written as x < a?

Back

It means that x is less than a, or that x can take any value smaller than a.

Front

What does it mean when an inequality is written as x > a?

Back

It means that x is greater than a, or that x can take any value larger than a.

Front

How do you solve an inequality that involves multiplication by a negative number?

Back

When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign.

Front

What is the solution set of the inequality x + 5 < 10?

Back

x < 5