Algebra II : Solving Inequalities

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #91 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to simplify both sides of the inequality.

Subtracton both sides.

The inequality becomes:

Add 24 on both sides.

Simplify both sides.

Divide by 12 on both sides.

The answer is:

Example Question #92 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

In order to solve for x, we will first need to simplify the right side.

Multiply the six through both terms of the binomial.

Subtractfrom both sides.

Divide by negative 33 on both sides. This will require a sign change.

The answer is:

Example Question #93 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Use the distributive property to expand both sides.

Subtracton both sides.

Add 18 on both sides.

The inequality becomes:

Divide by 50 on both sides.

The answer is:

Example Question #94 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Add three on both sides.

Simplify both sides.

Divide by 8 on both sides.

Simplify both sides.

The answer is:

Example Question #95 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Addon both sides of the inequality.

Simplify both sides.

Subtract three from both sides.

Divide by nine on both sides.

Simplify both fractions.

The answer is:

Example Question #96 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Addon both sides of the inequality.

Simplify both sides.

Add 20 on both sides.

Divide by three on both sides.

The answer is:

Example Question #97 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Add 8 on both sides.

Divide by five on both sides. It is not necessary to switch the direction of the sign.

Simplify both sides.

The answer is:

Example Question #98 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Addon both sides.

Add nine on both sides.

Divide by nine on both sides.

The answer is:

Example Question #99 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Addon both sides.

Simplify both sides.

Subtract 3 on both sides.

The answer is:

Example Question #100 :Inequalities

Solve the inequality:

Possible Answers:

Correct answer:

Explanation:

Divide by negative three on both sides. This operation will require changing the signs.

Add 6 on both sides.

The answer is:

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