Question

The solution set of |R - 3| = 10 is
{7, 13}
{-7, 13}
{-13, 13}

Answer 1

{-7, 13}

Explanation:

|R-3| = 10

| | Distance to 0, so hypothetically |-1| = |1|

R-3 = 10 and -(R-3) = 10

R-3 = 10 R-3=-10

+3 +3 +3 +3

R=13 R=-7

Answer 2

{-7, 13}

Explanation:

|R - 3| = 10

There are two cases, one positive and one negative

R - 3 = 10 and R-3 = -10

Add 3 to each side

R - 3+3 = 10+3 and R-3+3 = -10+3

R = 13 R = -7

The solution set is {-7, 13}