Which is true about the solution to the system of inequalities shown?

y < one-thirdx – 1

y < one-thirdx – 3

on a coordinate plane, 2 solid straight lines are shown. the first line has a positive slope and goes through (0, negative 1) and (2, 0). everything below the line is shaded. the second line has a positive slope and goes through (0, negative 3) and (3, negative 2). everything below the line is shaded.
all values that satisfy y < one-thirdx – 1 are solutions.
all values that satisfy y < one-thirdx – 3 are solutions.
all values that satisfy either y < one-thirdx – 1 or y < one-thirdx – 3 are solutions.
there are no solutions.

Option B.

Step-by-step explanation:

The given inequalities are

         .... (1)

        .... (2)

The related equations of both inequalities are

Table of values:

For inequality (1).

x       y

0      -1

3      0

For inequality (2).

x       y

0      -3

9      0

Plot these points on a coordinate plane and draw both related lines.

Check the inequalities by (0,0).

  False

   False

It means (0,0) is not included in shaded area of any inequality.

From the given graph it is clear that all values that satisfy  are solutions.

Therefore, the correct option is B.

step-by-step explanation:

the triangles are similar. therefore the corresponding sides are in proportion:

              cross multiply

            divide both sides by 32