Question

FAN AND MEDAL FOR HELP!


Given the equation |2x+3| = x-5
Which of the followiung would be the solution set for x?
A. {-8}
B. {2/3}
C. {-8, 2/3}
D No Solution
E None of These

@amistre64

Answer 1

test them out

Answer 2

I got for my answers

|-13| = -13
and
|13/3| = -13/3

So would the answer be C or No solution?

Answer 3

does |-a| = -a ?

Answer 4

Nope

Answer 5

Isn' abs value supposed to be equal to a positive? Im rusty lol

Answer 6

absolute values are never negative ... so x < 5 is not going to produce any valid results.

so, either a solution exists; or none exists ... which do you think it should be and why?

Answer 7

I'm assuming none since |-a| = a and \[a \neq a\]

Answer 8

a =/ -a **

Answer 9

none exist ...

either:

2x+3 = x-5 , such that x>5
x=-8

or

-(2x+3) = x-5, such that x > 5
2 = 3x
x=2/3

neither 'solution' is valid

Answer 10

Thanks!