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stira [4]
3 years ago
6

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

Mathematics
1 answer:
Damm [24]3 years ago
6 0
The inequalities are
y ≤ 2x + 1
and
y > -2x -3

Conveniently, they are already in slope-intercept form. Looking at the inequalities, we know off the bat there will be one dotted line and one solid line, since one is a "greater than" inequality (dotted line) and the other is "greater than or equal to" (solid line). This automatically rules our option B and C. 

-The solid line will have a slope of 2 and a y-intercept of 1 
-The dotted line will have a slope of -2 and a y-intercept of -3. 

Both option A and D satisfy this, so which one has correct shading?
Option D has the shaded region below the solid line and above the dotted line, which agrees with our system of inequalities.

Answer is D
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