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Solve for x: x − 2 > 2x + 12. x > 14 x < 14 x > −14 x < −14

User Martin CR
by
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2 Answers

4 votes

Answer:

The guys above is wrong because it should be x < -14 because you have to balance out both sides of the equation, you can't just do something to one side of the equation and not do it to the other.

Explanation:

User George Brotherston
by
7.9k points
6 votes

For this case we must solve the following inequality:


x-2> 2x + 12

We follow the steps below:

We subtract 2x on both sides of the inequality:


x-2-2x> 2x + 12-2x\\-x-2> 12

We add 2 to both sides of the inequality:


-x> 14

We multiply by -1 on both sides of the inequality, taking into account that the sense of inequality changes:


x <14

Answer:


x <14

User RichardMc
by
8.4k points

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