Question

Solve |x−3|<7. Write your answer in interval notation.

Answer 1

if given |f(x)| < a (with a is a constant) then the solution is
-a < f(x) < a

Answer 2

since absolute takes the positive and the negative number inside |number|
@RadEn is right @spimentel

Answer 3

theforefore, if given |x−3|<7 then the solution can represented be
-7 < x-3 < 7

Answer 4

simplify again
add by 3 to all sides, giving us :
-7+3 < x-3+3 < 7+3
-4 < x < 10

Answer 5

so how would i write that in interval notation?

Answer 6

-4 < x < 10
that's already in interval notation

Answer 7

oh ok:) thank you soo much, i actually get it.:)

Answer 8

you're welcome :)

Answer 9

how would you write that with the infinity signs? because i think thats what its asking me