# Math Analysis

The solution of 5x>2x is?

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1. x>0

As long as x is positive, the statement 5x>2x is true.

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2. what if x were negative ? Try x = -1

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3. The inequality is not valid for any negative number x.

If you require a derivation, subtract 2x from both sides, leaving 3x>0. This is a valid operation for inequalities, and does not change the direction of the > sign.

Then divide both sidss by +3. This operation does not change the direction of the > sign either.

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