My Math Forum Need help for ax+by =< c, where 0

 Algebra Pre-Algebra and Basic Algebra Math Forum

August 19th, 2017, 04:18 AM   #1
Newbie

Joined: Aug 2017
From: Germany

Posts: 2
Thanks: 0

Need help for ax+by =< c, where 0<a<b<c

Hey Guys
Could anybody please explain me how this attached exercise works?
The correct answer for this would be K

Best regards
Kevin
Attached Images
 Mathexercise.JPG (37.7 KB, 10 views)

 August 19th, 2017, 04:33 AM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 2,701 Thanks: 1359 $ax+by \le c \implies y \le -\dfrac{a}{b}x + \dfrac{c}{b}$ Since each coefficient is positive ... slope, $m = -\dfrac{a}{b} < 0$, a negative slope for the boundary line $\dfrac{c}{b} > 0$, a positive y-intercept region is shaded below the boundary line What may you conclude? Thanks from MrKK11
 August 19th, 2017, 07:18 AM #3 Newbie   Joined: Aug 2017 From: Germany Posts: 2 Thanks: 0 c/b >=y, therefore the shaded space has to be under the line. y can increase to a certain number but can decrease to any number, because it is always smaller or equal than the postive number c/b. Thanks a lot for your help

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