Question

Prove that a>b and c<0, then a/c < b/c is true

Answer 1

We have proven that if a>b and c < 0, then a/c < b/c as shown below

Proving expressions

From the question, we are to prove the given expression.

We are to prove that

If a>b and c<0, then a/c < b/c is true

Choose some numbers to satisfy the conditions

Since we have that

a > b

Let a = 8

and b = 4

Also,

We have that c < 0

Let c = -2

Now,

Evaluate a/c

a/c = 8/-2 = -4

Also, evaluate b/c

b/c = 4/-2 = -2

-4 < -2

Thus,

a/c < b/c

Hence, we have proven that if a>b and c < 0, then a/c < b/c

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