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}

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Harshit Singh · Answer

Welcome to AskIITians (i) 2^x&ndash; 1 is always an odd number for all positive integral values of x since 2xis an even number. In particular, 2x&ndash; 1 is an odd number for x = 1, 2, &hellip; , 9. Therefore, A = {1, 2, 3, 4, 5, 6, 7, 8, 9} (ii) x^2+ 7x &ndash; 8 = 0 (x + 8) (x &ndash; 1) = 0 x = &ndash; 8 or x = 1 Therefore, C = {&ndash; 8, 1} Thanks

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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}

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