current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -(-2)^(x+1)/(x+1)+(-2)^(x+2)/(x+2) ≤0.0001 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-( -2 ) ^ ( x + 1 ) / ( x + 1 ) + ( -2 ) ^ ( x + 2 ) / ( x + 2 ) ≤0.0001 (1)
From the definition field of divisor
x + 1 ≠ 0 (2 )
From the definition field of divisor
x + 2 ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < -2 或 x > -2
From inequalities (1) and (2)
x < -1 或 x > -1 (4)
From inequalities (3) and (4)
x < -2 或 -2 < x < -1 或 x > -1 (5)
The final solution set is :
x < -2 或 -2 < x < -1 或 x > -1Your problem has not been solved here? Please take a look at the hot problems !