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 jj.\newline 2(j14)<22(j - 14) < -2
  1. Distribute 22: Distribute 22 across the terms inside the parentheses.\newline2(j14)<22(j - 14) < -2\newline2j+2(14)<22 \cdot j + 2 \cdot (-14) < -2\newline2j28<22j - 28 < -2
  2. Add 2828: Add 2828 to both sides of the inequality to isolate the term with the variable jj.\newline2j28+28<2+282j - 28 + 28 < -2 + 28\newline2j<262j < 26
  3. Divide by 22: Divide both sides of the inequality by 22 to solve for jj.\newline2j2<262\frac{2j}{2} < \frac{26}{2}j<13j < 13

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