Maths-

General

Easy

Question

# Write the converse of the statement if x + 2 = 6, then x = 4

- If

Hint:

## The correct answer is:

### Now we know that by swapping the hypothesis and the conclusion, a statement can be made to mean the opposite. "If two lines don't intersect, then they are parallel" is the inverse of "If two lines overlap, then they are parallel." If q, then p is the opposite of "if p, then q."

For example: assuming P and Q are two simple assertions and P Q is a compound statement, P and Q. As a result, Q P is the converse of the sentence P Q. It should be noted that P Q and Q P are the opposites of one another. In geometry, we have seen instances where P Q is true, and we must determine whether the opposite, i.e., Q P, is also true.

Let's now use an example to further understand how to determine the opposite of a statement. All of a triangle ABC's inner angles must be equal if it is an equilateral triangle. We must first determine the statements P and Q in order to determine the converse of a given statement.

Now we have given the equations as: x + 2 = 6, then x = 4, this is given as statement.

x + 2 = 6 ⇒ x = 4, Its converse is x = 4

x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6

Generally, a compound statement is a combination of two or more simple statements. The simple statements can be converted into compound statements using multiple ways. Here we have to find the converse of the statement if x + 2 = 6, then x = 4.

So we have given a statement and we have to find the what is the converse is. A conditional statement that has the antecedent and consequent switched around is known as a converse statement. So the answer is x + 2 = 6 i.e. if x = 4 then 4 + 2 = 6.

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More is the stabilization, lesser is the reactivity and vice-versa.

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