Algebra II : Solving Inequalities

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #21 : Solving Inequalities

Solve the inequality.

Possible Answers:

Correct answer:

Explanation:

Divide both sides by  

Example Question #22 : Solving Inequalities

Solve the following inequality for .

Possible Answers:

Correct answer:

Explanation:

Solve the following inequality for .

Begin by getting like terms on the same side of the inequality sign.

Next, combine like terms:

Finally, divide by 5.

Example Question #22 : Solving Inequalities

Solve:

Possible Answers:

Correct answer:

Explanation:

To solve this inequality, work as though it were a normal equation. Add five to both sides and then divide by . Remember, when you multiply or divide by a negative number with inequalities, you have to flip the inequality sign. Therefore, your answer is:

Example Question #23 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

Example Question #255 : Basic Single Variable Algebra

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

Example Question #25 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides.

Example Question #26 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides.

 Divide  on both sides. When dividing with a negative number, our answer is negative. Also, we must FLIP the inequality.

Example Question #28 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Subtract  on both sides. When adding with another negative number, we just add the numbers and put a minus sign in front.

 Divide  on both sides. When dividing with another negative number, our answer is positive. Also, FLIP the sign. 

Example Question #27 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Multiply  on both sides.

Example Question #28 : Solving Inequalities

Solve for .

Possible Answers:

Correct answer:

Explanation:

 Divide  on both sides. When dividing with another negative number, our answer is positive. We also need to FLIP the inequality sign.

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