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The graph below shows the solution to which system of inequalities

The graph below shows the solution to which system of inequalities-example-1

1 Answer

9 votes

Answer:

C. y </ 3/4x +10 and y<l -1/2x - 3

Explanation:

Basically first do process of elimination with your focus on one equation

for example :: ( >l is greater then or equal to and <l is lease then or equal to)

focus -> y >l 3/4x + 10

1) determine which line has the y-intercept of positive 10

2) is the line dotted or straight? dotted line = > or < while straight line = >l or <l

this should get rid of B and D now

3) remember this = if the slope is - then the shaded portion would be the way that the less then sign is pointing

( y <l -4x then the shaded portion would be on the left side )

remember again = if the slope is + then the shaded portion would be the way that the greater then sign is pointing

( y <l 4x then the shaded portion would be on the right side )

so the line that we are focused on would have the right side shaded which means that it would be a <l ,so the answer would be C

hope this helped you understand how to solve these a bit better!

(tbh the day I figured how to solve these problems, I swear the whole world turned 180 degrees for me. )

User Michael Plotke
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