Question

СРОЧНО,ЖИЗНЬ ИЛИ ДВОЙКА,решите неравенства :(х-2)(х-3)>х^2
(2х-1)(3х+5)≤6х^2

Answer 1

1) 
$(x-2)(x-3) textgreater x^2$

$x^2-3x-2x+6 textgreater x^2$

$x^2-5x+6-x^2 textgreater 0$

$-5x+6 textgreater 0$

$-5x textgreater -6$

$x textless 1.2$

---------(1.2)---------------
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$x$ ∈ $(-$ ∞ $;1.2)$

2) 
$(2x-1)(3x+5) leq 6x^2$

$6x^2+10x-3x-5 leq 6x^2$

$6x^2+7x-5-6x^2 leq 0$

$7x-5 leq 0$

$7x leq 5$

$x leq frac{5}{7}$

--------------[5/7]--------------
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$x$ ∈ $(-$ ∞ $; frac{5}{7} ]$