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Solving and graphing inequalities worksheet with six problems to solve and plot on a number line.

Worksheet with six algebraic inequalities to solve and graph on a number line, including equations like 3x - 9 ≤ 6 and 4 + 7x > 18.

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Show Answer Key & Explanations Step-by-step solution for: Worksheet: Solving Linear Inequalities

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1. 3x - 9 ≤ 6
Add 9 to both sides: 3x ≤ 15
Divide by 3: x ≤ 5

2. 4 + 7x > 18
Subtract 4 from both sides: 7x > 14
Divide by 7: x > 2

3. 9x + 10 > -17
Subtract 10 from both sides: 9x > -27
Divide by 9: x > -3

4. (3/5)x - 6 > 2
Add 6 to both sides: (3/5)x > 8
Multiply by 5/3: x > 40/3

5. 9x - 10 ≥ -19
Add 10 to both sides: 9x ≥ -9
Divide by 9: x ≥ -1

6. -2x + 7 ≤ 13
Subtract 7 from both sides: -2x ≤ 6
Divide by -2 (reverse inequality): x ≥ -3

Parent Tip: Review the logic above to help your child master the concept of linear inequalities worksheet.

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