Question

solve and write the solution in interval notation:
|5-b|+4 <9

Answer 1

Start with moving 4 to the right:

Answer 2

and then???

Answer 3

how do you write that in interval notation

Answer 4

@mathprob you need to solve for x, BEFORE putting the result into interval notation!

Answer 5

i got zero, i think its wrong

Answer 6

If you want me to check how you're wrong, then please post your working steps here!

Answer 7

|5-b|+4<9
|5-b|<5
-b<0

Answer 8

In order to remove the absolute sign, you need to divide into 2 cases!

Answer 9

First case with the positive value:
5-b < 5
-> 5 -5 < b
Thus b > 0

Answer 10

Second case with negative value:
5 - b > -5
-> 5 +5 > b
Thus b < 10

Answer 11

Questions?

Answer 12

Then put the results together:
Domain is all value of x such that x ε ( 0, 10)

Answer 13

I mean, all value of b such that b ε ( 0, 10)

Answer 14

ok thank you

Answer 15

no