Which graph represents the following system of inequalities? y > 2x - 5 y <-3x
1 answer:
Answer:
The graph i the attached figure
Step-by-step explanation:
we have
----> inequality A
The solution of the inequality A is the shaded area above the dotted line
The slope of the dotted line is positive
The x- intercept of the dotted line is the point (2.5,0)
The y- intercept of the dotted line is the point (0,-5)
-----> inequality B
The solution of the inequality B is the shaded area below the dotted line
The slope of the dotted line is negative
The x- intercept of the dotted line is the point (0,0)
The y- intercept of the dotted line is the point (0,0)
The solution of the system of inequalities is the shaded area between the two dotted lines
see the attached figure
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we have
we know that
this is the equation of a line, to identify which is the graph we will proceed to determine the points of intersection with the coordinate axes
1) <u>Find the y-intercept</u>
the y-intercept is when the value of x is equal to zero
For
find the value of y
2) <u>Find the x-intercept </u>
the x-intercept is when the value of y is equal to zero
For
find the value of x
therefore
the answer is the option B ( see the attached figure)
