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Select the pair of equal of equal sets f...

Select the pair of equal of equal sets from the following :
`A = {0}`
`B = {x : x gt 15 and x lt 5, x in N}`
`C = {x : x - 5=0}`
`D = {x:x^(2) = 15}`
`E = { x : x" is positive root of "x^(2)-2x-15}=0`.

Text Solution

Verified by Experts

Here `A={0}`
`B = phi`
( `because` there is no natural number less than 5 and greater than 15)
`{:(C={5},because,x-5=0rArrx=5),(D={"5,"-5},because,x^(2)=25rArrx=pm5),(E={5},because,x^(2)-2x-15=0rArrx=5-3):}`
but -3 is negative.
`:.` C and E are equal sets.
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