Chapter 6.1, Problem 5WE

To determine

To find: the values for $j,k,l$ and $m$ that shows this conclusion is false.

Answer to Problem 5WE

  $j=3,k=2,l=6,m=5$ .

Explanation of Solution

Given information:

Some people are given that $j>k$ and $l>m$ , they carelessly conclude that.

Calculation:

Consider that $j>k$ and $l>m$ , they carelessly conclude that $j+k>l+m$ .

The values of $j,k,l,m$ can be chosen as $j=3,k=2,l=6,m=5$

Therefore,

  $l>m$ as $6>5$

And

  $j>k$ as $3>2$

Therefore,

  $\begin{array}{c}J+K=3+2\\ =5\\ l+m=6+5\\ =11\end{array}$

From above argument $j+k<l+m$ as $5<11$

Hence, the answer is $j=3,k=2,l=6,m=5$ .