Question

Which graph shows the solution to the system of linear inequalities?

Answer 1

Answer:

From the graph in the attachment, it is clear that Option A is correct.

Step-by-step explanation:

The given inequalities are x - 4y ≤ 4 and y < x + 1.

Let us take the first line x - 4y ≤ 4 and remove the inequality and add equality, x - 4y = 4.

Now, we will find the intercept points. Putting y = 0 we will get x = 4 and putting x = 0 we will get y = -1. So, the points are (4,0) and (0,-1).

When we will solve the inequality, we find that portion above the graph satisfies this inequality.

Let us take the second line y < x + 1 and remove the inequality and add equality, y = x + 1.

Now, we will find the intercept points. Putting y = 0 we will get x = -1 and putting x = 0 we will get y = 1. So, the points are (-1,0) and (0,1).

When we will solve the inequality, we find that portion below the graph satisfies this inequality.

All these conditions satisfy the Option A.

The diagram is in the attachment.

For more explanation, refer the following link:

brainly.com/question/13760700

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