[latex] \left \{ {4^{x-1}\leq16} \atop {5^{2x+4} больше 25}} \right. [/latex]

[latex]4^{x-1} \leq 16[/latex] [latex]4^{x-1} \leq 4^2[/latex] [latex]x-1 \leq 2[/latex] [latex]x \leq 2+1[/latex] [latex] x \leq 3[/latex] [latex]5^{2x+4}>25[/latex] [latex]5^{2x+4}>5^2[/latex] [latex]2x+4>2[/latex] [latex]x+2>1[/latex] [latex]x>1-2[/latex] [latex]x>-1[/latex] [latex]-1< x \leq 3[/latex] х є [latex](-1;3][/latex]