The graph of a system of inequalities is shown. ![](http://admin.getprephub.com/media/editor/11_20230225191917904632.png) Create the system of inequalities that is represented by the graph.

The equation of the dotted line $$y=-3$$ Or, $$y+3=0$$ The inequality of dotted line be $$y<-3$$ The equation of the other line $$\frac{x}{7.5}+\frac{y}{-5}=1 \quad[{x}$$-intercept=7.5, $${y}$$-intercept $$=-5]$$ or, $$\frac{10 x}{75}-\frac{y}{5}=1$$ Or, $$10x-15y=75$$ Or, $$2 x-3 y=15$$ it contains the origin. So, the inequality be $$2 x-3 y \leq 15$$ therefore, the system of inequality be $$y<-3$$ $$2 x-3 y \leq 15$$

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Question

Difficulty Level:

Medium

MCQ

The graph of a system of inequalities is shown.

Create the system of inequalities that is represented by the graph.

Select all that apply :

$y<-3$

$2 x-3 y \leq 15$

$y \geq-3$

$2 x-3 y \leq 15$

$y<-3$

$2 x-3 y \geq 15$

$y<-5$

$2 x-3 y \leq 10$

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