SOLUTION: when is the LCM of two polynomials eqaul to their product? given the expression 1/(x-5). Is it possible to choose a value for x for which the value of the expression is greater

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Question 158728: when is the LCM of two polynomials eqaul to their product?
given the expression 1/(x-5). Is it possible to choose a value for x for which the value of the expression is greater than 10?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
When is the LCM of two polynomials equal to their product?
When the denominators are inverse of one another and the product of the
numerators is "1".
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given the expression 1/(x-5). Is it possible to choose a value for x for which the value of the expression is greater than 10?
INEQUALITY:
1/(x-5) > 10
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x cannot be 5:
Draw a number line and mark x=5
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Let x be greater than 5; then x-5 is positive.
Multiply both sides of the inequality by x-5 to get:
1 > 10x - 50
10x < 51
x < 5.1
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Solutions: 5 < x < 5.1
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Cheers,
Stan H.