Mathematics Past Questions and Answers

Let f(x) = 2x + 4 and g(x) = 6x + 7 here g(x) > 0. Solve the inequality \(\frac{f(x)}{g(x)}\) < 1

Find the range of values of x which satisfies the inequality 12x² < x + 1

Sn is the sum of the first n terms of a series given by Sn = n\(^2\) - 1. Find the nth term

The nth term of a sequence is given 3^{1 - n} , find the sum of the first terms of the sequence.

Two binary operations \(\ast\) and \(\oplus\) are defines as m \(\ast\) n = mn - n - 1 and m \(\oplus\) n = mn + n - 2 for all real numbers m, n.
Find the value of 3 \(\oplus\) (4 \(\ast\) 50)