# Solve Advanced Linear Inequalities Worksheet

## 6 problems

Solving advanced linear inequalities refers to the inequality that surpasses simple one or two-step linear inequalities. It involves navigating through multiple steps, variables, and using various arithmetic operations and properties to isolate the variable. In these worksheets, students will use different arithmetic operations to solve the inequality.

For example: Solve for w:

 –3(w+9)+14>–4

Algebra 1
One-Variable Inequalities

## How Will This Worksheet on "Solve Advanced Linear Inequalities" Benefit Your Students' Learning?

• It fosters critical thinking as students need to examine various possible ways and find the appropriate method to solve the inequality.
• It enhances problem-solving skills as you learn to break a problem into small steps and use various mathematical operations to find the solution efficiently.
• It helps us in handling expressions, solving equations, and graphing linear inequalities, which are essential fo...
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## Solved Example

Q. Solve for $j$.$\newline$ $2(j - 14) < -2$
Solution:
1. Distribute $2$: Distribute $2$ across the terms inside the parentheses.$\newline$$2(j - 14) < -2$$\newline$$2 \cdot j + 2 \cdot (-14) < -2$$\newline$$2j - 28 < -2$
2. Add $28$: Add $28$ to both sides of the inequality to isolate the term with the variable $j$.$\newline$$2j - 28 + 28 < -2 + 28$$\newline$$2j < 26$
3. Divide by $2$: Divide both sides of the inequality by $2$ to solve for $j$.$\newline$$\frac{2j}{2} < \frac{26}{2}$$j < 13$

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