Question

Please help!! also please explain I would like to understand.​

Answer 1

A

Explanation:

We can simply treat the inequality like an equation because the numbers are on the line. That is y + 1 = 2(x - 1).

Then, we can plug in some numbers:

If x = 2: y + 1 = 2(2 - 1)

y + 1 = 2

y = 1

So one point on the line is (2, 1). B, C, and D don't work because it is impossible for this point to be on the line; the x coordinate corresponds to another y-coordinate, or vise-versa ((3, 1), (2, 0) and (3, 1), respectively) . Therefore, the correct answer is A.

Answer 2

A

Explanation:

First, put this equation in slope intercept form.

`y=mx+b`

Where m is the slope and b is the y intercept.

`y+1>2(x-1) \\ \\ y+1>2x-2 \\ \\ y>2x-3`

Since it's greater than, the solution set is above the line, effectively eliminating graph D.

Now we should graph it.

We can see that the point
`(2,1)` is on the graph, and only Graph A has that point. Therefore, Graph A is the correct graph.