Question

Solve the equation |2n + 3| = 13.
a) n = -8
b) n = 5
c) n = -5
d) n = 8

Answer 1

To solve the equation |2n + 3| = 13, consider both the positive and negative cases. The solutions are n = -8 and n = 5.

Step-by-step explanation:

To solve the equation |2n + 3| = 13, we need to consider both the positive and negative cases.

Positive Case:

In this case, we remove the absolute value signs and set 2n + 3 equal to 13.

2n + 3 = 13

2n = 10

n = 5

Negative Case:

In this case, we remove the absolute value signs and set 2n + 3 equal to its negation, -13.

2n + 3 = -13

2n = -16

n = -8

Therefore, the solutions to the equation |2n + 3| = 13 are n = -8 and n = 5.