Which of the following, if solved, would yield the set of all real numbers that are exactly 15 units away from -3?

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Which of the following, if solved, would yield the set of all real numbers that are exactly 15 units away from -3?


A. |x + 3| = 15
B. |x - 3| = 15
C. |x - 15| = 3
D. |x + 15| = 3
E. |x + 15| = -3


OA A

Source: Veritas Prep

Legendary Member
Posts: 2218
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members
BTGmoderatorDC wrote:
Sun Mar 27, 2022 3:24 am
Which of the following, if solved, would yield the set of all real numbers that are exactly 15 units away from -3?


A. |x + 3| = 15
B. |x - 3| = 15
C. |x - 15| = 3
D. |x + 15| = 3
E. |x + 15| = -3


OA A

Source: Veritas Prep
\(15\) units away from \(-3 = -3+15=12\) and \(-3-15=-18\)

In A we have
\(x+3=15\)
\(x=12\)

and

\(-x-3=15\)
\(x=-18\)

Therefore, A