If p = (y : 2y (geq) 6) and Q = (y : y -3 (geq) 4), where y is an integer, find p(cap)Q
-
A.
{3, 4} -
B.
{3, 7} -
C.
{3, 4, 5, 6, 7} -
D.
{4, 5, 6}
Correct Answer: Option C
Explanation
p = (y : 2y (geq) 6)
2y (leq) 6
y (leq frac{6}{2})
y = (leq) 3
and Q = (y : y -3 (geq) 4)
y – 3 (geq) 4
y (geq) 4 + 3
y (geq) 7
therefore p = {3, 4, 5, 6, 7} and Q = {7, 6, 5, 4, 3….}
P(cap)Q = {3, 4, 5, 6, 7}