Question

Two sets, R and S, are described below.

The sum of the elements in set R equals
the sum of the elements in set S.
R = {5, x, 3, 8}
S = {6, y, 4, 1}
What is the value of x − y ?
E. −7
F. −5
G. 5
H. 7

Answer 1

F. -5

Explanation:

R = {5, x, 3, 8}

Sum of R: x + 16

S = {6, y, 4, 1}

Sum of S: y + 11

The sums are equal.

x + 16 = y + 11

x - y = 11 - 16

x - y = -5

Answer: F. -5