Question47. $(5 x-3)^{2}>-2$

Studdy Solution
Since $(5x - 3)^2$ is always non-negative and $-2$ is a negative number, the inequality $(5x - 3)^2 > -2$ is always true for all real numbers $x$.
Thus, the solution set is all real numbers.
The solution set for the inequality is all real numbers, $\boxed{\mathbb{R}}$.