1
{(x²-7)/2>1⇒x²-7>2⇒x²-9>0⇒(x-3)(x+3)>0⇒x<-3 U x>3
{(3x-2)/5-(6-x)/2≥2x-7⇒6x-4-30+5x≥20x-70⇒20x-11x≤-34+70⇒9x≤36⇒x≤4
x∈(-∞;-3) U (3;4]
2
{(x+7)/(x-5)+(3x+1)/2≥0
{|5-x|≤2
1)[2(x+7)+(3x+1)(x-5)]/2(x-5)≥0
(2x+14+3x²+x-15x-5)/2(x-5)≥0
(3x²-12x+9)/2(x-5)≥0
3(x²-4x+3)/2(x-5)≥0
3(x-1)(x-3)/2(x-5)≥0
x=1 x=3 x=5
_ + _ +
--------------[1]------------[3]-------------------(5)--------------------
1≤x≤3 U x>5
2)-2≤5-x≤2
-2-5≤-x≤2-5
-7≤-x≤-3
3≤x≤7
x∈(5;7]