Question

Solve the equation:|x+1|+|x−2|=3

Answer 1

Given,

Solve the equation,

$\lvert x+1\rvert+\lvert x+2\rvert=3$

Solution:

Simplify the given expression by opening each bracket.

$\begin{gathered} x+1+x+2=3 \\ 2x+3=3 \\ 2x=3-3 \\ 2x=0 \end{gathered}$

The value of x is

$x=0$

Thus, the value of x is 0.