Question

Someone help please!!
The equation |ax+b|=c must have _________ ?
A. Only one solution
B. 1 or 2 solution
C. 0,1,2 solution
D. 0,1 or an infinite number of solutions

HELP !

Answer 1

c

Answer 2

Do they state that c is positive?

Answer 3

Yes

Answer 4

If they make a point of saying that c is positive, then I believe that B would actually be the answer. I am trying to think of a situation in which there would be no solutions if c is positive.

Answer 5

if \(c\) is negative there are no solutions
if \(c=0\) there is one solution
if \(c>0\) there are two solutions

Answer 6

Yes, I agree with what satellite73 said. :)

Answer 7

Although, zero is neither positive nor negative.

Answer 8

Ok makes sense so it's c or b

Answer 9

If they did not say that c is positive, then I would say choice C

Answer 10

But if they specified that c is positive, I would go with B

Answer 11

Wait a minute!!!

Answer 12

Now I'm confused

Answer 13

That's because I think the directions are unclear. Does the whole problem say just what you wrote at first, or do they give you additional information about c?

Answer 14

Nope that's everything

Answer 15

If they don't come right out and say that c is positive, then c can be positive, negative, or zero. :)

Answer 16

So, then, the answer would be C.

Answer 17

Since if c is negative, no number has an absolute value that is negative. (no solution)

Answer 18

If c is 0, there is one solution

Answer 19

Ok thanks sooo much

Answer 20

And if c is positive, then ax + b can equal c or -c , since both of those would have an absolute value of c :)

Answer 21

I hope that was not confusing! Sometimes my brain doesn't come up with the best wording. ;)

Answer 22

It's fine it made perfect sense :) thanks everybody