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1)(x+4)(x+2)(x-0)<0
x=-4 x=-2 x=0
_ + _ +
-----------------(-4)--------------(-2)-----------------(0)----------------------
x∈(-∞;-4) U (-2;0)
2)(x+4)(x+3)x<0
x=-4 x=-3 x=0
_ + _ +
-----------------(-4)--------------(-3)-----------------(0)----------------------
x∈(-∞;-4) U (-3;0)
3)(2x²-16x)(4x+4)>0
2x(x-8)(4x+4)>0
x=0 x=8 x=-1
_ + _ +
-----------------(-1)--------------(0)-----------------(8)----------------------
x∈(-1;0) U (8;∞)
4)(x²-25)(x²-9)<0
(x-5)(x+5)(x-3)(x+3)<0
x=5 x=-5 x=3 x=-3
+ _ + _ +
-----------------(-5)--------------(-3)-----------------(3)------------(5)----------
x∈(-5;-3) U (3;5)
x=-4 x=-2 x=0
_ + _ +
-----------------(-4)--------------(-2)-----------------(0)----------------------
x∈(-∞;-4) U (-2;0)
2)(x+4)(x+3)x<0
x=-4 x=-3 x=0
_ + _ +
-----------------(-4)--------------(-3)-----------------(0)----------------------
x∈(-∞;-4) U (-3;0)
3)(2x²-16x)(4x+4)>0
2x(x-8)(4x+4)>0
x=0 x=8 x=-1
_ + _ +
-----------------(-1)--------------(0)-----------------(8)----------------------
x∈(-1;0) U (8;∞)
4)(x²-25)(x²-9)<0
(x-5)(x+5)(x-3)(x+3)<0
x=5 x=-5 x=3 x=-3
+ _ + _ +
-----------------(-5)--------------(-3)-----------------(3)------------(5)----------
x∈(-5;-3) U (3;5)
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