Decide whether each statement is true or false. The equation 5x=4...

Question

Decide whether each statement is true or false. The equation 5x=4x is an example of a contradiction.

Accepted Answer

Hello everyone. We were asked that for the statement below right If it is true or false. So the statement we are given is nine X equals seven X. Is a contradiction equation. First you need to recall that a contradiction equation is an equation that has no solution. There's an empty set as its answer. So we're going to see if we can come up with a solution to nine X equals seven X. And if we cannot our statement is true. If we can the statement is false. So nine X equals seven X. I want to move all my variables to one side and I like moving them to the left. So I want to subtract seven X from both sides. So nine X minus seven X. Gives me two X. On the right hand side. Seven X minus seven X equals zero. We don't want to leave this empty. We want to put the zero there Next dividing both sides by two. to undo the multiplication of two X. So X is left alone. On the left hand side, zero divided by two is 0. So despite the fact that zero you're gonna think means nothing. zero is a solution. So we have a solution which means this statement is false because it is not a contradiction equation. It has a solution. The solution is zero. Have a good day

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Decide whether each statement is true or false. The equation 5x=4x is an example of a contradiction.

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