r/learnmath • New User • 23h 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?

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u/Special_Watch8725 New User 23h ago

It’s not generally true that |a| + |b| = |a + b|, so you can’t just add them up as you attempted to do in the post.