If p y 2y geq 6 and Q y y -3 geq 4 where y is a... - WAEC Mathematics 2013 Question
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}
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Correct Option: C
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}
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