Determinati x apartine R, daca x-1 supra x-2 apartine (1 supra 3; 3 supra 4) (interval)
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1/3 < x-1/x-2 < 3/4
1/3 < (x-2+1)/x-2 < 3/4
1/3 < x-2/x-2 + 1/x-2 <3/4
1/3 < 1 +1/x-2 <3/4 /-1
1/3-3/3 < 1/x-2 < 3/4-4/4
-2/3 < 1/x-2 <-1/4
-3/2 > x-2/1 >-4/1
-4 < x-2 < -3/2 /+2
-2 < x < -3/2+4/2
-2 < x < 1/2
x∈(-2 ; 1/2)
1/3 < (x-2+1)/x-2 < 3/4
1/3 < x-2/x-2 + 1/x-2 <3/4
1/3 < 1 +1/x-2 <3/4 /-1
1/3-3/3 < 1/x-2 < 3/4-4/4
-2/3 < 1/x-2 <-1/4
-3/2 > x-2/1 >-4/1
-4 < x-2 < -3/2 /+2
-2 < x < -3/2+4/2
-2 < x < 1/2
x∈(-2 ; 1/2)
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