Resources

Testimonials

Plans

Math

Algebra 1

One-Variable Inequalities

Identify Solutions To One-Variable Inequalities

Identify Solutions To One-Variable Inequalities Worksheet

6 problems

Download free worksheet

Identifying the solution to one-variable inequality refers to comparing two expressions and to show which is bigger or smaller. One-variable inequality focuses on just one variable. The process of determining a solution involves identifying the values of the variable that satisfies the given inequality. In these worksheets, students will find the solution of the inequality by checking all the values of the given variable.

For example: Which of the following is a solution to the inequality below?

`4 > k`

Choices: `[[k=12][k=6][k=1][k=7]]`

Algebra 1

One-Variable Inequalities

How Will This Worksheet on "Identify Solutions to One-Variable Inequalities" Benefit Your Students' Learning?

It enhances critical thinking as students need to examine the inequality and need to take appropriate steps to find the solution.
It helps in developing problem-solving skills as students work on different types of problems which helps them in other math problems and everyday challenges.
It helps in strengthening the algebraic concepts such as changing equations around, isolating variables, and figuring out the symbols.
It helps us to figure out correct answers by using logic and reasoning, thus helpin...

Show all

Solved Example

Q. Which of the following are solutions to the inequality below? Select all that apply.

\newline

1 \leq w

\newline

Multi-select Choices:

\newline

(A)

w = 10

\newline

(B)

w = 4

\newline

(C)

w = 6

\newline

(D)

w = 1

Solution:

Understand the inequality: Understand the inequality. $\newline$ The inequality $1 \leq w$ means that $w$ must be greater than or equal to $1$ .
Test option (A): Test each option against the inequality. $\newline$ (A) $w = 10$ $\newline$ Check if $10$ is greater than or equal to $1$ . $\newline$ $10 \geq 1$ is true.
Test option (B): Test the next option. $\newline$ (B) $w = 4$ $\newline$ Check if $4$ is greater than or equal to $1$ . $\newline$ $4 \geq 1$ is true.
Test option (C): Test the next option. $\newline$ (C) $w = 6$ $\newline$ Check if $6$ is greater than or equal to $1$ . $\newline$ $6 \geq 1$ is true.
Test option (D): Test the last option. $\newline$ (D) $w = 1$ $\newline$ Check if $1$ is greater than or equal to $1$ . $\newline$ $1 \geq 1$ is true.

What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate

19-year math teacher
Carmel, CA

Any math teacher that I know would love to have access to ByteLearn.

Jennifer Maschino

4-year math teacher
Summerville, SC

“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”

Rodolpho Loureiro

Dean, math program manager, principal
Miami, FL

“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”

Related Worksheets

Solve One-Step Linear Inequalities Using Multiplication And Division