# Solve One-Step Linear Inequalities Using Any Operation Worksheet

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Solving one-step linear inequalities using any operation is a type of mathematical expression where a single operation is needed to isolate the variable on one side of the inequality symbol. It is an inequality where we find the value of the variable by performing a single mathematical operation like addition, subtraction, multiplication, and division on both sides of the inequality. In these worksheets, students will find the value of the variable using a single mathematical operation.

For example: Solve for f: 2f≥8

Algebra 1
One-Variable Inequalities

## How Will This Worksheet on "Solve One-Step Linear Inequalities Using Any Operation" Benefit Your Students' Learning?

• It enhances critical thinking as students need to examine the inequality and find the appropriate operation to isolate the variable.
• It helps us to have a better understanding of algebraic concepts such as inverse operations and the properties of equality and inequality.
• It helps us to understand inequalities better, how to balance them and how to solve the problems.
• It lays a foundation for handling more complex algebraic problems easily and dealing with topic like systems of equations and inequalities, quadratic inequalities, and linear programming.

## How to Solve One-Step Linear Inequalities Using Any Operation?

• Identify the inverse operation to be used to isolate the variable.
• Apply the inverse operation to both sides of the inequality and solve for the variable.

## Solved Example

Q. Solve for $w$.$\newline$$w + 2 \leq 5$
Solution:
1. Identify Operation: Identify the operation to isolate $w$. In the inequality $w + 2 \leq 5$, the number $2$ is being added to $w$. To isolate $w$, we should use the opposite operation, which is subtraction.
2. Subtract $2$: Subtract $2$ from both sides of the inequality to solve for $w$.$\newline$$w + 2 \leq 5$$\newline$$w + 2 - 2 \leq 5 - 2$$\newline$$w \leq 3$

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