Answer:
7/2 ≤ x < 4
Explanation:
When an increasing function is applied to both sides of an inequality, their order does not change. We can solve the given inequality as though the square root symbol were not present.
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Inequality solution
5 -x > 2x -7
12 > 3x . . . . . add x+7
4 > x
domain restrictions
The domain of f(x) requires that its argument be non-negative.
5 -x ≥ 0 ⇒ x ≤ 5
2x -7 ≥ 0 ⇒ x ≥ 7/2
full solution
Together with the domain restriction on f(x), the solution to the inequality is ...
7/2 ≤ x < 4