Which is a counterexample for the conditional statement shown?
2 answers:
Answer: Any fraction with a positive numerator and a negative denominator
Step-by-step explanation:
A counterexample in math refers to when a condition is satisfied but the result is not the conclusion that the statement said it would lead to.
In this instance, the statement is that if the numerator of the fraction is larger than the denominator, the result will be greater than 1.
If the numerator is positive and the denominator is negative then the numerator is larger than the denominator because all positive numbers are larger than negative numbers on the number line. However, the result will always be less than 1.
For instance, take the following fractions;
In each case the numerator was larger than the denominator but the result was always less than 1.
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it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .
<u>Step-by-step explanation:</u>
Here we have , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour. We need to find How long will it take for Braydon and Lauren to get to the same mile marker on the path in the park .Let's find out:
Let after time t they meet each other so , Braydon can run at 3 miles per hour , he's initially at 10 mile marker . Distance traveled is given by :
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Now , Lauren is at the 12-mile marker at the park, She is walking at a pace of 1.5 miles per hour , Distance traveled is given by :
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Equating both we get :
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Therefore , it will take 1.33 hours for Braydon and Lauren to get to the same mile marker on the path in the park .