Question

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

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given inequalities are

$y$          .... (1)

$y$         .... (2)

The related equations of both inequalities are

$y=\frac{1}{3}x-1$

$y=\frac{1}{3}x-3$

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).

$(0)$   False

$(0)$    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 $y$  are solutions.

Therefore, the correct option is B.

Answer 2

Answer:

B. All values that satisfy y < 1/3x – 3 are solutions.