Question

which linear inequality is represented by the graph?

Answer 1

Answer:

in my opinion it will be

Step-by-step explanation:

3 option

y < 1/3x + 2

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Answer 2

Answer:

The inequaton becomes $2y\leq x+4$

Step-by-step explanation:

• In the figure it is clearly shown to us that the area is below the line drawn hence the inequation is of less than equalto type $\leq$
• Now for finding equation of a line we have the general equation as
  $y=mx+c$
• To find the value of m we have the equation as
  $m = \frac{y_{2}-y_{1}}{x_{2} - x_{1}}$
• Now inserting the value of $y_{2} = 0$ and $y_{1} = 2, x_{2} = -4$ and $x_{1} = 0$
  we get the value of m as
  $m = \frac{-2}{-4} \\m = \frac{1}{2}$
• Then the equation of line we get is
  $2y=x+2c$
• On putting the value of point (0,2) in the above equation as it should satisfy it we get the value of c as
  $c = 2$
• Hence the inequaton becomes
  $2y\leq x+4$
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