\sqrt{2x-3} \; \; \Leftrightarrow \; \; \left \{ {{2x-3\geq 0} \atop {x>2x-3}} \right.\\\\\left \{ {{2x\geq 3} \atop {3>x}} \right.\; \; \left \{ {{x\geq 1,5} \atop {x<3}} \right. \; \; \Rightarrow \; \; \; x\in[\, 1,5\; ;\; 3)" alt=" \sqrt{x}>\sqrt{2x-3} \; \; \Leftrightarrow \; \; \left \{ {{2x-3\geq 0} \atop {x>2x-3}} \right.\\\\\left \{ {{2x\geq 3} \atop {3>x}} \right.\; \; \left \{ {{x\geq 1,5} \atop {x<3}} \right. \; \; \Rightarrow \; \; \; x\in[\, 1,5\; ;\; 3)" align="absmiddle" class="latex-formula">