Question: Solve the following inequalities:

(a) \(|7x-8|\le 4x+7\)

(b) \({{\left( x+1 \right)}^{2}}>0\)

(c) \(\frac{3x}{2{{x}^{2}}+18}<0\)

(d) \(2{{x}^{2}}+2x-3<{{x}^{2}}+7x+3\)

(e) \(\frac{2x-3}{5}\ge \frac{x}{2}\)