Question

Which point is in the overlap of

y > x+1
21
X+6
41.
y <
(3,5)
b
(5,3)
c (1,6)
d (6,1)
a

Answer 1

The point in the overlap of the given inequalities is (6,1). Therefore, the answer is (d)

Step-by-step explanation:

The question is asking which point is in the overlap of the inequalities y > x+1 and y < 21. To find the points that satisfy both conditions, we need to plot the lines represented by the given inequalities and identify the common region.

First, let's graph the line y = x+1. To do this, we can plot a few points and draw a line through them. For example, when x = 0, y = 1; when x = 1, y = 2; when x = 2, y = 3.

Next, let's plot the line y = 21. This line is horizontal and passes through the y-axis at y = 21. Now we can determine which point(s) lie in the region where both conditions are satisfied.

By looking at the graph, we can see that the point (6,1) satisfies both inequalities. Therefore, the answer is (d) (6,1).