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 x/(x+absx) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x / ( x + abs x ) >0 (1)
From the definition field of divisor
x + abs x ≠ 0 (2 )
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 < -433889/500000 或 -433889/500000 < x < -787901/1000000 或 -787901/1000000 < x < -28321/40000 或 -28321/40000 < x < -157037/250000 或 -157037/250000 < x < -34267/62500 或 -34267/62500 < x < -93679/200000 或 -93679/200000 < x < -388519/1000000 或 -388519/1000000 < x < -154321/500000 或 -154321/500000 < x < -45753/200000 或 -45753/200000 < x < -148889/1000000 或 x ＞ -148889/1000000
From inequalities (1) and (2)
x < -433889/500000 或 -433889/500000 < x < -787901/1000000 或 -787901/1000000 < x < -28321/40000 或 -28321/40000 < x < -157037/250000 或 -157037/250000 < x < -34267/62500 或 -34267/62500 < x < -93679/200000 或 -93679/200000 < x < -388519/1000000 或 -388519/1000000 < x < -154321/500000 或 -154321/500000 < x < -45753/200000 或 -45753/200000 < x < -148889/1000000 或 x ＞ -148889/1000000 (3)
The final solution set is :
x < -433889/500000 或 -433889/500000 < x < -787901/1000000 或 -787901/1000000 < x < -28321/40000 或 -28321/40000 < x < -157037/250000 或 -157037/250000 < x < -34267/62500 或 -34267/62500 < x < -93679/200000 或 -93679/200000 < x < -388519/1000000 或 -388519/1000000 < x < -154321/500000 或 -154321/500000 < x < -45753/200000 或 -45753/200000 < x < -148889/1000000 或 x ＞ -148889/1000000Your problem has not been solved here? Please take a look at the hot problems ！
