ACT Math : How to find out when an equation has no solution

Study concepts, example questions & explanations for ACT Math

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Example Questions

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Example Question #44 : Algebra

Solve: 

Possible Answers:

Infinitely Many Solutions 

No Solution 

Correct answer:

No Solution 

Explanation:

First, distribute the  to the terms inside the parentheses.

Add 6x to both sides. 

This is false for any value of . Thus, there is no solution. 

Example Question #45 : Algebra

Solve .

Possible Answers:

No solutions

Correct answer:

No solutions

Explanation:

By definition, the absolute value of an expression can never be less than 0. Therefore, there are no solutions to the above expression.

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