Question

how to solve |13x| > -5????

Answer 1

what you're trying to do is isolate the value x. treat the inequality like a equal sign and only change the sign when you are dividing by negative value. remember it's absolute sign so it can be both 13x and -13x for postive and negative values

Answer 2

I'm really lost like how do I even start?

Answer 3

so it's |13x| > -5

because it's in absolute brackets, then it can be 2 equations
13x > -5
if it is 13x=-5, do you know how to solve?

and

-13x>-5
if it is -13x = -5 do you know how to solve?

Answer 4

p.s. treating it as = sign does not necessarily give you the correct answer for inequaility.. I'm just leading you to the solution.

Answer 5

okay I think its x< 5/13 or x> -5/13

Answer 6

Am I right?

Answer 7

nope. your signs are wrong. inequality change ONLY when you perform multiplication/division of a negative value for 13x >-5, you divide by positive 13 x>-5/13 and for -13x<-5, you divide by negative so sign switch x>5/13. does it make sense

Answer 8

my answer choices don't have what your explaining :(

Answer 9

my friend when you have |x|>a, a is negative number
the solution is all real numbers, because any number you throw in for x will satisfy the equation. that is just the definition of absolute value

Answer 10

|x|>=0 always true so solution is the set of real numbers
|x|<a, a positive solution is -a<x<a
|x|>a, a positive solution is x>a or x<-a
|x|<a, a negative no solutions absolute values is always greater than or equal zero