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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



Answer :

[tex]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[/tex]

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