1
(1/2)^(4x+2)≥(1/2)^(3x-5)
4x+2≤3x-5 (основание меньше 1,знак меняется)
4x-3x≤-2-5
x≤-7
x∈(-∞;-7]
наибольшее целое х=-7
2
(x²-5x+6)/(|x|+3)≤0
1)x<0<br>(x-3)(x-2)/(-x+3)≤0
(x-3)(x-2)/(x-3)≥0
x-2≥0,x≠3
x≥2,x≠3
\\\\\\\\\\\\\
---------(0)------------[2]------------(3)------------
/////////////////////////////////
нет решения
2)x≥0
(x-3)(x-2)/(x+3)≤0
x=3 x=2 x=-3
///////////////////////// //////////////////////////
_ + _ +
-------------------(-3)-----[0]-------[2]----------------[3]--------------------
\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\
x∈[2;3]
наибольшее целое х=3
3
3(x-3)²(5+x)³/(2-x)³≥0
x=3 x=-5 x=2
_ + _ _
----------------[-5]-------------(2)----------------[3]------------------
x∈[-5;2) U {3}
4
(2x+3)/x-1≤0
(2x+3-x)/x≤0
(x+3)/x≤0
x=-3 x=0
+ _ +
---------------[-3]--------------(0)---------------
x∈[-3;0)