Question

Which system of inequalities has this graph as it’s solution

Answer 1

Answer:

Option (B)

Step-by-step explanation:

In the graph attached,

Two lines graphed have the equations as,

y = 2x - 3 [A line having y-intercept as (-3)]

$y=\frac{1}{3}x+4$ [Line having y-intercept as (4)]

Since both the lines have been represented by the dotted lines therefore, these lines will represent the inequalities [having the signs less than (<) or greater than (>)].

Now shaded region will decide the signs of the inequalities.

Since, shaded region of y = 2x - 3 is on the left side, inequality showing this region will be,

y > 2x - 3

Since, shaded region of $y=\frac{1}{3}x+4$ is above the line, inequality showing this region will be,

$y>\frac{1}{3}x+4$

Therefore, Option (B) will be the answer.