Hi! Today I realized I cannot actually solve equations with absolute value correctly.
I have an equation [math]| \frac{x}{x+y} | \leq 1[/math]My question is what's the best strategy to solve these and what did I forget in my solution:
[math]-1 \leq \frac{x}{x+y} \leq 1[/math]
[math]-x-y \leq x \leq x+y[/math][math]y \geq 0, y \geq 2x[/math]
When I draw it, it's not symmetric, although it should be. Any ideas?
I have an equation [math]| \frac{x}{x+y} | \leq 1[/math]My question is what's the best strategy to solve these and what did I forget in my solution:
[math]-1 \leq \frac{x}{x+y} \leq 1[/math]
[math]-x-y \leq x \leq x+y[/math][math]y \geq 0, y \geq 2x[/math]
When I draw it, it's not symmetric, although it should be. Any ideas?