How to Solve One-Step Inequalities? (+FREE Worksheet!)

To solve one-step inequalities, you only need to do one math operation. Learn how to solve one-step inequalities easily.

How to Solve One-Step Inequalities? (+FREE Worksheet!)

Related Topics

Step by step guide to solve one-step inequalities

  • Similar to equations, first isolate the variable by using the inverse operation.
  • For dividing or multiplying both sides by negative numbers, flip the direction of the inequality sign.

One–Step Inequalities – Example 1:

Solve and graph the inequality. \(x \ + \ 2 \ ≥ \ 3\)

Solution:

Subtract \(2\) from both sides. \(x \ + \ 2 \ ≥ \ 3→x \ + \ 2 \ – \ 2 \ ≥ \ 3 \ – \ 2\), then: \(x \ ≥ \ 1\)

One–Step Inequalities – Example 2:

Solve and graph the inequality. \(x \ – \ 1 \ \leq \ 2\)

Solution:

Add \(1\) to both sides. \(x \ − \ 1 \ ≤ \ 2→x \ − \ 1 \ + \ 1 \ ≤ \ 2 \ + \ 1\), then: \(x \ ≤ \ 3\)

One–Step Inequalities – Example 3:

Solve and graph the inequality. \(x+5≥6\).

Solution:

Subtract \(5\) from both sides. \(x+5≥6→x+5-5≥6-5\), then: \(x≥1\)

One–Step Inequalities – Example 4:

Solve this inequality. \(x-6≤-3\)

Solution:

Add \(6\) to both sides. \(x-6≤-3→x-6+6≤-3+6\), then: \(x≤3\)

Exercises for Solving One–Step Inequalities

Solve each inequality and graph it.

1- \(\color{blue}{x + 9 ≥ 11}\)

2- \(\color{blue}{x – 4 ≤ 2}\)

3- \(\color{blue}{6x ≥ 36}\)

4- \(\color{blue}{7 + x < 16}\)

5- \(\color{blue}{x + 8 ≤ 1}\)

6- \(\color{blue}{3x > 12}\)

Download One-Step Inequalities Worksheet

This image has an empty alt attribute; its file name is answer-3.png

Answers

Related to "How to Solve One-Step Inequalities? (+FREE Worksheet!)"

Managing Math Fear as an Adult
How to Handle Your Math Assignments?
How to Choose the Best Backup Software Solution for School Districts?
How to Find the Volume and Surface Area of a Triangular Pyramid?
How to Convert a Linear Equation in Standard Form to Slope-Intercept Form?
How to Find Values of Functions from Graphs?
How to Find the Unit Price of a Product?
How to Divide Decimals by Whole Numbers?
How to Find the Volume and Surface Area of Triangular Prism?
How to Find Elapsed Time?

What people say about "How to Solve One-Step Inequalities? (+FREE Worksheet!)"?

No one replied yet.

Leave a Reply

X
30% OFF

Huge Discount!

30% OFF

Take It Now!

SAVE $5

It was $16.99 now it is $11.99