Question

Given that P = {16, 4, x, 20, 12} and Q = {multiples of 4 that is less than or equal to 20}. If P = Q, find the value of x.

Answer 1

Answer:

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Step-by-step explanation:

Solution

Here ξ={1,2,3,...12}

P={2,3,5,7,11}

Q={4,8,12}

R={2,3,8,9}

The Venn diagram is shown in the figure

Then the set (Q∪R)

′

∩P contains the elements contained in P and neither in R or Q which is same as the elements of P intersection with complement of R∪Q and it is {5,7,11}