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lila1
@lila1
April 2021
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решите относительно относительно переменной x
a) cos 3*cos 5* (x^2-4)<0
b) cos 2 *(2x-1)<0
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Verified answer
A) cos 3*cos 5* (x²-4)<0
cos3<0, cos5>0 => cos3*cos5<0=>x²-4>0
(x-2)(x+2)>0
+ - +
_______________-2__________2_________
x∈(-∞;-2)∨(2;+∞)
b) cos 2 *(2x-1)<0
cos2<0 => 2x-1>0
2x>1
x>1/2
x
∈(1/2;+∞)
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Answers & Comments
Verified answer
A) cos 3*cos 5* (x²-4)<0cos3<0, cos5>0 => cos3*cos5<0=>x²-4>0
(x-2)(x+2)>0
+ - +
_______________-2__________2_________
x∈(-∞;-2)∨(2;+∞)
b) cos 2 *(2x-1)<0
cos2<0 => 2x-1>0
2x>1
x>1/2
x∈(1/2;+∞)