|x-4|+|x-3|

Question

Write the expression |x − 4| + |x − 3| without the absolute-value symbols if x is in the given interval. (−infinity, 1)

Answer 1

Since x < 1, x-4 < 0, and x-3 < 0, |x-4| = -(x-4) = 4-x, and |x-3| = -(x-3) = 3-x

So, |x-4|+|x-3| = 4-x + 3-x = 7-2x <==Answer