Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Answer:

Step-by-step explanation:

Consider the two inequalities:

To plot them, let's first write their corresponding equations:

Next, we need to identify at least two points for each equation to create the graph.

For Equation :

By setting x = 0, we find y = 1

If we set y = 0, then x = .

The two points identified are (0, 1) and (, 0).

For Equation :

By putting x = 0, we arrive at y = -2

Setting y = 0 leads us to find x = 1.

The two points we got here are (0, -2) and (1, 0).

Now we can proceed to plot these points.

Let's try point (1, 4) to check if it satisfies the first inequality.

Which is verified as true.

Thus, the shaded area would extend towards point (1,4).

Now, let's see if point (1, 4) holds for the second inequality.

This indicates that the shaded area would be opposite to point (1,4).

There is no solution available for this system since a common shaded area does not exist..