Question

(a - b)/a = c

In the equation above, if a is negative and b is
positive, which of the following must be true?

A) c > 1

B) c = 1

C) c = −1

D) c < −1​

Answer 1

(a-b)/a = a/a -b/a = 1-(b/a)

a is always -ve and b/a is +ve/-ve => -ve always be negative..

so, 1-(-ve) is always +ve and greater that 1.

so, c > 1

option A

Answer 2

(a-b)/a = a/a -b/a = 1-(b/a)

a is always -ve and b/a is +ve/-ve => -ve always be negative..

so, 1-(-ve) is always +ve and greater that 1.

so, c > 1

option A✔

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