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Re: GRE Math Challenge #5-If y - 3x > 12 and x - y > 38 [#permalink]
20 Jan 2019, 09:48

1

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Expert's post

soumya1989 wrote:

If \(y - 3x > 12\) and \(x - y > 38\), which of the following are possible values of x?

Indicate all such values.

A)-60 B)-30 C)-6 D)4 E)20 F)30

GIVEN: y - 3x > 12 x - y > 38

To make things easier to follow, let's rewrite the bottom inequality as follows: y - 3x > 12 -y + x > 38

Since the two inequality symbols are facing the SAME direction, we can ADD the inequalities. When we do so, we get: -2x > 50 Divide both sides by -2 to get: x < -25 [when we divide both sides of an inequality by a NEGATIVE number, we must REVERSE the direction of the inequality symbol]

So, any value of x that is LESS THAN -25 will be correct.

Answer: A and B

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