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Mathematics 20 Online
OpenStudy (anonymous):

solve for x if m<0:y>mx+b

jimthompson5910 (jim_thompson5910):

y > mx+b y-b > mx (y-b)/m < x x > (y-b)/m Note: since m < 0, this means that the sign will flip when you divide both sides by m.

OpenStudy (anonymous):

would the y-b be divided by m?

jimthompson5910 (jim_thompson5910):

You mean is there a way to take (y-b)/m and simplify it further?

jimthompson5910 (jim_thompson5910):

what I wrote above as the answer is \[\Large x > \frac{y-b}{m}\]

OpenStudy (anonymous):

when y-b>mx would you divide by mx?

jimthompson5910 (jim_thompson5910):

yes, this allows you to isolate x

jimthompson5910 (jim_thompson5910):

since m is negative, this will flip the inequality sign

OpenStudy (anonymous):

so it would be \[y-b \div mx \]

jimthompson5910 (jim_thompson5910):

yes, but you're not dividing by x since you want to solve for it

OpenStudy (anonymous):

okay thank you i understand it now!

jimthompson5910 (jim_thompson5910):

that's great, you're welcome

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