Algebra 1 : Systems of Inequalities

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #36 : How To Find The Solution To An Inequality With Division

Solve the following inequality:  

Possible Answers:

Correct answer:

Explanation:

Divide by negative twelve on both sides of the inequality.

Dividing by a negative value requires changing the direction of the sign.

Simplify both sides.

The answer is:  

Example Question #37 : How To Find The Solution To An Inequality With Division

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

Divide both sides by negative two.  We will need to switch the direction of the sign.

Simplify both sides and switch the sign.  Rewrite the complex fraction such that dividing by a negative two is similar to multiplying by negative half.

Multiply the fractions on the right.

The answer is:  

Example Question #38 : How To Find The Solution To An Inequality With Division

Solve the inequality:  

Possible Answers:

Correct answer:

Explanation:

Dividing by negative one-eighth is similar to multiplying by negative eight on both sides.  Since we are dividing by a negative number, the sign will switch.

Simplify both sides.

The answer is:   

Dividing by negative one-eighth is similar to multiplying by negative eight on both sides.  Since we are dividing by a negative number, the sign will switch.

Simplify both sides.

The answer is:   

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