Question

Which system of inequality is shown

Answer 1

The correct answer is: Option (B)
y < x
y < 4

Explanation:
The red titled line in the graph passing through the origin has the equation y = x. If you shade y < x from that line, you would get the lower half of the whole graph.

The straight red line in the graph has the equation y = 4. If you shade y < 4 and y < x, you would get the shaded area of the graph given in the question. Hence the correct answer is Option (B) y < x, y < 4.

Answer 2

Answer:

The system of inequality that is shown is:

Option: B

                          y<x

                          y<4

Step-by-step explanation:

We could clearly observe that the line graphed on the coordinate plane are dotted lines, hence the inequality are strict.

• Also, the first line is a horizontal line that passes through y=4, and the shaded area lie below the line.

Hence, the inequality that is used is:

                       y< 4

• Also, the second line is  a line of y=x and the shaded region again lie below the line i.e. the points whose x-coordinate are greater is considered.

Hence, the inequality that describes this situation is:

                        y<x