Question

| x-3|+| x-4 |given that x>4
rewrite without using absoulute notation

Answer 1

thts just x-3 + x -4
both parts are positive
simplifies to 2x - 7

Answer 2

what do I do with the x-4

Answer 3

if x>4 ,

then (x-4) is positive so it's absolute value is the same .
|x-4| = (x-4)

Also, if x>4 , then (x-3) is positive so
|x-3| = (x-3)

So, tosummarize ; when x>4:
|x-3|+|x-4| = (x-3)+(x-4)= x-3+x-4 = 2x-7

i.e.:
|x-3|+|x-4| = 2x-7