Reasoning and Proof question Consider the following statement: if 4x = 8, then x = 2.

What is the inverse of statement?

Options:
If 4x = 8, then x = 2.
If x ≠ 2, then 4x ≠ 8.
If x = 2, then 4x = 8.
If 4x ≠ 8, then x ≠ 2.

The answer is the third If then statement because if x equals 2 then 4(2) would equal 8.

Step-by-step explanation:

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

answer: y = -2.5x - 15

              (-6,0)

step-by-step explanation: