Question

for the absolute value of x-3 = 4 : x=7 ;x=-1

Answer 1

what is your question exactly ???

Answer 2

absolute value of x-3=4 implies
x-3= +4 or -4
hence solving the 2 equations we get x=7 or x=-1

Answer 3

by the way i am not sure what the question was??

Answer 4

any time you have an absolute value = to something the statement is saying that the value of the variable in the absolute value has a positive value and a negative value that will make the statement true. We know that we can put any number into an absolute value operation and it will come out positive. In this question we want to know for which values of x will the equation given hold true. Immediately we know that x-3 has to be between -4 and +4, so the equation with the absolute value removed is now -4< x-3<4. this is saying literally, x minus three is between negative four and positive four. If we add three to both sides then -1<x<7. In all truth x is either = -1, or = 7 (Note that the less than signs should actually be less than/equal to which is the same (<) symbol with a line under it) I just don't like using the equation writer deal unless I really have to. Keep on pushin.