а) (х-1,2)*(х+4)≤0
х ∈ [-4; 6/5]
b) (2+x)(x+10)(3-x)>0x ∈ (-∞,-10) ∪ (-2,3)
B) x ∈ (-∞;-3/2]∪[-1,4;1/2]∪[7/4;+∞]
a)
1)
x-4>0 ... x-4<0
x+5>0 ... x+5<0
2)
x>4 ... x<4
x>-5 ... x<-5
x∈(4;+∞)
x∈(-∞;-5)
b)
x-1,5/x+2,5≤0; x≠ -2,5
x-3/2 / x+5/2 ≤ 0
2x-3/2 / 2x+5/2 ≤0
2x-3/2x+5≤0
...
х ∈ (-5/2;3/2]
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Answers & Comments
1)
а) (х-1,2)*(х+4)≤0
х ∈ [-4; 6/5]
b) (2+x)(x+10)(3-x)>0
x ∈ (-∞,-10) ∪ (-2,3)
B) x ∈ (-∞;-3/2]∪[-1,4;1/2]∪[7/4;+∞]
2)
a)
1)
x-4>0 ... x-4<0
x+5>0 ... x+5<0
2)
x>4 ... x<4
x>-5 ... x<-5
x∈(4;+∞)
x∈(-∞;-5)
b)
x-1,5/x+2,5≤0; x≠ -2,5
x-3/2 / x+5/2 ≤ 0
2x-3/2 / 2x+5/2 ≤0
2x-3/2x+5≤0
...
х ∈ (-5/2;3/2]