Which best describe the meaning of the statement
" if a, then b"?

In general, a mathematical statement consists of two parts: the hypothesis or assumptions, and the conclusion. In your case, "If A, then B" or "A implies B" or "A ⇒ B". The conditions that make up "A" are the assumptions we make, and the conditions that make up "B" are the conclusion. Statement "If A, then B" is called logical implication.

For the "A ⇒ B" there are such possibilities:

1. A and B are both true, then "A ⇒ B" is also true;

2. A true, B false, then "A ⇒ B" is false;

3. A false, B true, then "A ⇒ B" is true;

4. A and B both false, then "A ⇒ B" is true.

A mathematical statement generally constitutes of two parts :

In the given statement, "If A, then B" means "A implies B".

Here the conditions that comes under A are the assumptions and the conditions that comes under "B" are the conclusion.

The given Statement "If A, then B" is called logical implication.

The possibilities for the given statement : "If A then B" are :

1. If both A and B are true,

then "A ⇒ B" is also true;

2. If A is true and B is false,

then "A ⇒ B" is false;

3. If A is false but B is true,

then "A ⇒ B" is true;

4. If A and B both are false,

then "A ⇒ B" is true

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

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step-by-step explanation: