5X≤(x²-1)*6
5x≤6x²-6
-6x²+5x+6≤0 |*(-1)
6x²-5x-6≥0
x1,2 = 5 ± √25+144 = 5 ± 13
__________ ______ ⇒x1 = 1,5; x2 = -2/3
12 12
0 } \atop {x-1,5 < 0}} \right. \left \{ {{x+ \frac{2}{3} < 0} \atop {x-1,5 > 0}} \right. \\ \left \{ {{x>- \frac{2}{3} } \atop {x<1,5}} \right. \left \{ {{x<- \frac{2}{3} } \atop {x>1,5}} \right. \\ x>- \frac{2}{3} ; x<1,5 \\ - \frac{2}{3} < x < 1,5" alt=" 6(x+ \frac{2}{3})(x-1,5) \left \{ {{x+ \frac{2}{3} > 0 } \atop {x-1,5 < 0}} \right. \left \{ {{x+ \frac{2}{3} < 0} \atop {x-1,5 > 0}} \right. \\ \left \{ {{x>- \frac{2}{3} } \atop {x<1,5}} \right. \left \{ {{x<- \frac{2}{3} } \atop {x>1,5}} \right. \\ x>- \frac{2}{3} ; x<1,5 \\ - \frac{2}{3} < x < 1,5" align="absmiddle" class="latex-formula">
x принадлежит (-2/3;1,5)