The implication x \(\to\) y is equivalent to?

The first term of a geometric progression (G.P) is 3 and the 5th term is 48. Find the common ratio. 

Solve \(\frac{1}{3}\)(5 - 3x) < \(\frac{2}{5}\)(3 - 7x)

Make m the subject of the relation k = \(\sqrt{\frac{m - y}{m + 1}}\)

Find the quadratic equation whose roots are \(\frac{1}{2}\)  and -\(\frac{1}{3}\)