Identify the property illustrated in each statement. Assume all v...

Question

Identify the property illustrated in each statement. Assume all variables represent real numbers. (t-6)*(1/t-6)=1, if t-6 not equal to 0

Accepted Answer

Hey everyone here we are asked to state the property used in the given statement, noting that the variable P belongs to the set of all real numbers. So here our given statement is the quantity of P minus 73 times the quantity of one divided by the quantity of p minus 73. And this is This expression is set equal to one. And this statement is true for when P -73 is not equal to zero. So now with this given statement, we need to recall the inverse property which tells us that variable a times the quantity of one divided by a Is equivalent to just one. So now comparing this formula with our given statement, we see that the term a here is going to be the expression of P -73. And we see on the right hand side of our given statement, we have just one which aligns with our formula here. So now if we were to substitute in a four p minus we would see that our formula directly aligns with our given statement. Therefore we know that the inverse property was used and therefore we are left with answer choice D. Thanks for watching. I hope you found this video helpful. And I'll see you again next time

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Identify the property illustrated in each statement. Assume all variables represent real numbers. (t-6)*(1/t-6)=1, if t-6 not equal to 0