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Algebra 2 Course, Unit 1 –
Worksheet 12 –
Solving Inequalities with One
Variable, Part 1
2
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Algebra 2 Course, Unit 2 – Worksheet 12 – Solving Inequalities with One Variable,
Part 1
1. Solve and graph the inequality.
2. Solve and graph the inequality.
3. Solve and graph the inequality.
3
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4. Solve and graph the inequality.
5. Solve and graph the inequality.
6. Solve and graph the inequality.
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7. Solve the inequality.
8. Solve the inequality.
9. Solve the inequality.
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10. Solve the inequality.
11. Solve the inequality.
12. Solve the inequality.
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Answers – Algebra 2 Course, Unit 1 – Worksheet 12 – Solving Inequalities with
One Variable, Part 1
Note: Although not required, we will always solve inequalities ending with the
variable on the left side of the inequality symbol. Also note that we solve
inequalities the same way we solve equations, except that when we multiply or
divide both sides of the inequality by a negative number, we reverse the direction
of the inequality symbol.
1. Solve and graph the inequality.
Subtract from both sides.
Subtract from both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
7
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2. Solve and graph the inequality.
Combine like terms on the right side.
Subtract from both sides.
Divide both sides by .
Answer:
3. Solve and graph the inequality.
Combine like terms on the right side.
Subtract from both sides.
Add to both sides.
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Divide both sides by and reverse the inequality symbol.
Answer:
4. Solve and graph the inequality.
Combine like terms on the right side.
Add to both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
9
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5. Solve and graph the inequality.
Combine like terms on the right side.
Subtract from both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
10
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6. Solve and graph the inequality.
Combine like terms on the left side.
Subtract from both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
7. Solve the inequality.
Add to both sides.
Divide both sides by .
Answer:
11
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8. Solve the inequality.
Subtract from both sides.
Subtract from both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
12
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9. Solve the inequality.
Subtract from both sides.
Subtract from both sides.
Divide both sides by and reverse the inequality symbol.
Answer:
13
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10. Solve the inequality.
Subtract from both sides.
Add to both sides.
Divide both sides by .
Answer:
14
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11. Solve the inequality.
Subtract from both sides.
Subtract from both sides.
Divide both sides by .
Answer:
12. Solve the inequality.
To remove the coefficient of
multiply both sides by
.
Answer:
