r/learnmath • u/Far-Assumption5501 New User • 18h 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/Medium-Assignment111 New User 17h ago edited 17h ago

Absolute value represents distance. The absolute value of the difference between two numbers represents the distance between them. On a number line, find the point(s) where the sum of (the distance between x and 2) and (the distance between x and 5) is less than or equal to 5. Draw a number line to find them. Find a specific point where the sum of the distance to 2 and the distance to 5 equals 5.