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

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

by BTGmoderatorDC » Sun Mar 27, 2022 3:24 am

00:00

A

B

C

D

E

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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

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

by swerve » Mon Mar 28, 2022 12:50 pm
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

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