Explanation

• Q U Q!= R
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• Q=rational no. s
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• Q! = everything except it in the set here we take it as irrational no. s
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• rational no. s + irrational no. s = real no. s
• so the answer is R
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additional information: ?

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  The letters R, Q, N, and Z refer to a set of numbers such that:
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• R = real numbers include all real numbers [-inf, inf]
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• Q= rational numbers ( numbers written as ratio)
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• N = Natural numbers (all positive integers starting from 1. (1,2,3....inf)
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• z = integers ( all integers positive and negative ( -inf, ..., -2,-1,0,1,2....inf)