Mathematics

# The solution set of which of the following equations is the set of real numbers that are 5 units from −3 ? F. |x + 3| = 5 G. |x − 3| = 5 H. |x + 5| = 3 J. |x − 5| = 3 K. |x + 5| = −3

$F.\ |x+3|=5\\\\because:\\\\|x+3|=5\iff x+3=5\ \vee\ x+3=-5\\\\x=5-3\ \vee\ x=-5-3\\\\x=2\ \vee\ x=-8\\\\|-3-2|=|-5|=5\\|-3-(-8)|=|-3+8|=|5|=5$