Question

| x-3|+| x-4| given that x>4 rewrite this expression without using absolute value notation

Answer 1

When x > 4, |x - 3| > 1 and x - 3 > 1.
When x > 4, |x - 4| > 0 and x - 4 > 0.
Therefore, when x > 4, |x - 3| + |x - 4| = x - 3 + x - 4 = 2x - 7 = 2(x - 3) - 1 > 1.

Answer 2

In other words, 2x - 7.