If y - 2x 2 and 2y + 2x 12, what is the maximum possible value of

Question

If y - 2x ≤ 2 and 2y + 2x ≤ 12, what is the maximum possible value of y?

A) 4/3
B) 2
C) 4
D) 14/3
E) 6

Bunuel · Accepted Answer

y - 2x ≤ 2
2y + 2x ≤ 12

Sum the above inequalities (note that we can safely do so since the signs are in the same direction):

3y ≤ 14
y ≤ 14/3

Therefore, the maximum possible value of y is 14/3.

Answer: D.

AnkurGMAT20 · Answer

Bunuel , can you share the solution for this problem? Got this in F.E. Mock 6

AnkurGMAT20 · Answer

Thanks  Bunuel , how silly of me to miss such an easy question.

I remeber you have posted it elsewehere as well about adding the inequalities.

mandilwar · Answer

I missed it too and now I realize how easy this was.

Dream009 · Answer

If y - 2x ≤ 2 and 2y + 2x ≤ 12, what is the maximum possible value of y? Take max equality y-2x = 2 y-2= 2x => 3y < equal to 14 => y<= 14/3

Prep Toolkit