Which graph represents the solution set of the system of inequalities?

Question

asked Nov 3, 2019 59.4k views

1 Answer

Erek · Answer 1 · 2019-11-07T02:29:03+0000

Answer:

D (right-down graph)

Explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

$y=\frac13x-3$ - ascending function, because
$a=\frac13$ , so a>0

y=-3x-3 - descending function, cause
a=-3 , so a<0

We refuse both graphs on the left side, these are two ascending functions

$y\ge\frac13x-3$ is the area above the ascending function
$y=\frac13x-3$

y<-3x-3 is the area below the descending function

This causes that D (right-down graph) is a correct answer