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Finding Values: Absolute Value Inequalities

GMAT-9TZPZ1

Given $ -3 < E + F < 5$ and $ |F-G| < 3$, what is the minimum possible value of $E+G$ ?

A

$-3$

B

$-1$

C

$0$

D

$3$

E

$E+G$ can be infinitely large.