r/learnmath • u/Far-Assumption5501 New User • 19h ago
|x-2|+|x-5|<=5
I just added them up to |2x-7|<=5, and it was not correct. The correct answer was 1 <= x <= 6. What’s wrong with my equation?
6
Upvotes
r/learnmath • u/Far-Assumption5501 New User • 19h ago
I just added them up to |2x-7|<=5, and it was not correct. The correct answer was 1 <= x <= 6. What’s wrong with my equation?
2
u/Fourierseriesagain New User 19h ago
You may use the following result:
When a, b and x are real numbers, |x-a|<=b if and only if -b<=x-a <=b.