If E={x:x∈N, x<5} and F={x:x∈W, x<5}, which statement is correct?
Answer and explanation
Correct answer: E⊂F
Using the usual school convention N={1,2,3,...}, the condition x<5 gives E={1,2,3,4}. Whole numbers include zero, so F={0,1,2,3,4}. Every element of E is therefore in F, while 0 is in F but not in E. Hence E is a proper subset of F, not an equal set, and their intersection is certainly non-empty. Option B is correct.
Frequently asked questions
What is the correct answer to this question?
E⊂F
Why is this the correct answer?
Using the usual school convention N={1,2,3,...}, the condition x<5 gives E={1,2,3,4}. Whole numbers include zero, so F={0,1,2,3,4}. Every element of E is therefore in F, while 0 is in F but not in E. Hence E is a proper subset of F, not an equal set, and their intersection is certainly non-empty. Option B is correct.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems.
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