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Chapter 6: Q5. (page 206)

When some people are given that j>kand l>m, they carelessly concluded that j+k>l+m. Find the values for j, k, l, and m that shows this conclusion is false.

Short Answer

Expert verified

The conclusion is false when j=3,k=2,l=6,m=5 andm=5.

Step by step solution

01

Step 1. Choose values for j, k, l and m

The values for j, k, l, m can be chosen asj=3,k=2,l=6,m=5

02

Step 2. Verify the given inequality for j, k, l and m

Since j=3, k=2, l=6,m=5and3>2,6>5therefore, j>kand l>m.

03

Step 3. Check the conclusion

If j=3,k=2then j+k=3+2and hence j+k=5.

Also, if l=6,m=5then l+m=6+5and hence l+m=11.

Since 11>5therefore l+m>j+k. Contradiction occurs.

Therefore, the conclusion is false.

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