Question

Question: "Which of the following is equivalent to the equation 20-4/5x is equal to OR less than 16?"
>I've put 20-4/5x = 19 & 1/5x
>So 19 & 1/5x is equal to or less than 16 is what I've gotten so far... help me get farther or if I'm doing this wrong?
> The Answer IS A. x is equal to or less than 5 but don't know how to get there.
Thanks!!

Answer 1

So you start out with

\[20 - \frac{ 4 }{ 5 }x \le 16\]

you want to isolate 'x' so subtract 20 from both sides

\[ - \frac{ 4 }{ 5 }x \le -4\]

Now you want to multiply both sides of the equation by -5/4 (the reciprocal (remember we talked about that? this will isolate 'x'

\[ - \frac{ 4 }{ 5 }x * -\frac{5}{4}\le -4 * -\frac{5}{4}\]

\[ x \ge -4 * -\frac{5}{4}\]

**(now you just multiplied by a negative number so you SWITCH the sign as shown)

so now...what is -4 times = 5? 20 right?

so what is 20 / 4? it is 5

so we have

\[x \ge 5\]

So I get the answer as being x is GREATER THAN or equal to 5

Answer 2

typo up there

"what is -4 times = 5"

should be

what is -4 times - 5

other than that...all good :)

Answer 3

LOL I caught that :P Thanks...ONCE again!! :)

Answer 4

haha not a problem :)

and hey..1 mistake ...not bad :P

Answer 5

Not bad at all :) @johnweldon1993

Answer 6

@johnweldon1993 & your probably be right...cause I looked and YOUR answer is B. so I'll double check the answer sheet.

Answer 7

Okay :) I'm just PRETTYYYY sure that is the correct answer :)