Question

I dont understand this can you please help me
|X+3|<5
(1 point)
- 8< x <2
- 2 < x <8
3< x <5
-3< x <5
I dont understand this can you please help me
|X+3|<5
(1 point)
- 8< x <2
- 2 < x <8
3< x <5
-3< x <5
@Mathematics

Answer 1

|x|<a => -a<x<a

Answer 2

-5<x+3<5

Answer 3

subtract 3 from all sides

Answer 4

I Know i misspelled it i had it right but my computer likes to correct my stuff :D and thank you for the help i couldn't believe i didn't see that until now

Answer 5

The best way to look at these and solve them is to do it in two steps. The first time ignoring the absolute value sign.
x+3<5
x<2
Then second, you negate the right side and switch the inequality because you divided by a negative number.
x+3>-5
x>-8
Then put the two together.
-8<x<2

Answer 6

one more thing

|x|<a => -a<x<a if a is positve

if a is negative then |x|<a is anther way of saying solve for x so that the distance of x is less than some negative number
distance can't be negative so this would have no solution if a was negative