Solve the system of inequalities by graphing y

Step-by-step explanation:

We need to graph and .

First, lets find the solution of y < x + 2.

We need to draw the equation of y = x + 2.

If x = 0, y = 2.

If x = 1, y = 3.

Hence, the line y = x + 2 passes through (0, 2) and (1, 3).

The origin (0, 0) satisfies the inequality y < x + 2. Hence, the arrows will be towards the origin.

Now we need to find the solution of y < 2x - 1.

In order to find the solution, we need to draw the equation of the straight line y = 2x - 1.

x = 0 gives y = -1 & x = 1 gives y = 1.

Hence, the equation passes through (0, -1) and (1, 1).

Again (0, 0) does not satisfies the inequality y < 2x - 1, so the arrows for this inequality will be other direction than the origin.

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