Answered

the product of a mixed number between 4 and 5 and a fraction between 0 and 1 is always less than 4 true or false

Verified Answer :

The answer here is false. For example, 4.9 x .9 = 4.41 which is more than 4.(4 9/10 x 9/10 = 4 41/100).

Let

m-------> a mixed number between \(4\) and \(5\)

f-------> a fraction between \(0\) and \(1\)

p-----> the product of m and f


we will assume different values ​​of m and f to obtain the product

1) For \(m=4.1\) and \(f=0.2\)

\(p=4.1*0.2\)

\(p=0.82\)

\(0.82 < 4\)

2) For \(m=4.9\) and \(f=0.9\)

\(p=4.9*0.9\)

\(p=4.41\)

\(4.41 > 4\) --------> not always the product is less than \(4\)

therefore

the answer is

\(False\)