Question

solving inequalities
Will give medal
2|x+1/3|<9

Answer 1

do you mean 2|(x+1)/3| < 9 or 2|x+(1/3)| < 9?

Answer 2

They way I put it is the way the asked it so i have no idea

Answer 3

okay, then i understand (it's the latter)
first thing we have to do is isolate the absolute value expression because we can't simplify its internals
that can be done by dividing by 2 on both sides
2|x + 1/3| < 9
|x + 1/3| < 9/2
now the way we deal with the absolute value is by putting it in this form:
-9/2 < x + 1/3 < 9/2
we solve for x by subtracting 1/3 from everything (9/2 = 27/6, 1/3 = 2/6)
-29/6 < x < 25/6

Weird numbers tho

Answer 4

Still confused.

Answer 5

2|x+1/3|<9

Answer 6

divide both side by 2

Answer 7

|x+1/3|<9/2

Answer 8

now first tell me ..u know abt modulus ...what to do remove mod ??

Answer 9

@alexisp1