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If p = (y : 2y \(\geq\) 6) and Q = (y : y -3...

Mathematics
WAEC 2013

If p = (y : 2y \(\geq\) 6) and Q = (y : y -3 \(\leq\) 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 Answer: Option C
Explanation

p = (y : 2y \(\geq\) 6)

2y \(\geq\) 6

y \(\geq \frac{6}{2}\)

y = \(\geq\) 3

and Q = (y : y -3 \(\leq\) 4)

y - 3 \(\leq\) 4

y \(\leq\) 4 + 3

y \(\leq\) 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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