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On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b)(}). What conclusion follows from ((1,3)) and ((3,5))?समुच्चय (A={1,2,3,4,5}) पर (R={(a,b):a) (b) से छोटा है(}) है। ((1,3)) और ((3,5)) से क्या निष्कर्ष निकलेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ((1,5)\in R)((1,5)\in R)
Step 1: The less-than relation moves forward in order. Step 2: Since (1<3) and (3<5), we get (1<5). Hence ((1,5)\in R). Step 3: Do not reverse the direction in inequality relations.चरण 1: छोटे होने का सम्बन्ध क्रम में आगे बढ़ता है। चरण 2: (1<3) और (3<5), इसलिए (1<5)। अतः ((1,5)\in R)। चरण 3: असमानता में दिशा उलटकर उत्तर न चुनें।
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