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Write the following sets in the roaster form. (i) A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number} (ii) C = {x : x2 + 7x – 8 = 0, x ∈ R} Write the following sets in the roaster form. (i) A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number} (ii) C = {x : x2 + 7x – 8 = 0, x ∈ R}
Welcome to AskIITians(i) 2^x– 1 is always an odd number for all positive integral values of x since 2xis an even number.In particular, 2x– 1 is an odd number for x = 1, 2, … , 9.Therefore, A = {1, 2, 3, 4, 5, 6, 7, 8, 9}(ii) x^2+ 7x – 8 = 0(x + 8) (x – 1) = 0x = – 8 or x = 1Therefore, C = {– 8, 1}Thanks
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