Solve the Inequality for g |(2g+3)/2|>-7

Since ${\displaystyle \left|\frac{2g+3}{2}\right|}$ is always positive and ${\displaystyle -7}$ is negative, ${\displaystyle \left|\frac{2g+3}{2}\right|}$ is always greater than ${\displaystyle -7}$ so the inequality is always true.