Is converse of a particulare algebraic equation TRUE?

Posted on 2012-09-21
Last Modified: 2012-09-21
Consider following statement:

6x - 6 = x + 14 if x = 4

I come up with following conditional statement, inverse, converse, and contrapositive:

Conditional:               If x = 4, then 6x - 6 = x + 14                             TRUE

Inverse:                     If x != 4, then 6x - 6 != x + 14                           TRUE

Converse:                  If 6x - 6 = x + 14, then x = 4                             TRUE ?

Contrapositive:         If 6x - 6 != x + 14, then x != 4                            TRUE ?

How can we tell if converse if statement is TRUE when we don't know the value of x?  Another words how can we evaluate Converse if statment when we don't have the value of x?
Question by:naseeam
    1 Comment
    LVL 28

    Accepted Solution

    You don't need the value of x.  Solving the equation 6x-6=x+14 returns exactly one value of x (4).

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