[tex]arcsin:[-1,1] \rightarrow [ \frac{-\pi}{2}, \frac{\pi}{2}] [/tex]
[tex]-1 \leq 2x-5 \leq 1
[/tex]
[tex]4 \leq 2x \leq 6
[/tex]
[tex]2 \leq x \leq3 [/tex]
[tex]x \geq 2 \Rightarrow x \in [2,+ \infty )[/tex]
[tex]x \leq 3 \Rightarrow x \in (-\infty,3][/tex]
[tex]x \in [ (-\infty,3]\cap [2,+ \infty ) \Longrightarrow x \in [2,3][/tex]
