Also explain i would like to understand.

A

Step-by-step 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.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions