The solution of equation with absolute value If a + B

The solution of equation with absolute value If a + B


a+b0
|a+b-1|-|3-a-b|
=-(a+b)+1-3+(a+b)
=-2



The solution of the inequality with absolute value sign
|x+1|+|x-2|>5


There are three solutions
1. Suppose that x + 1 〉 0 and X-2 〉 0 hold at the same time, that is, X 〉 2, then the inequality is transformed into x + 1 + X-2 > 5, the solution is x 〉 3, and if the hypothesis holds, then x > 3
2. Suppose x + 1 〉 0, X-2