Question

if a= -9 and b=-6,show that (a-b) not equal (b-a)

Answer 1

Answer:

(A-B)= (B-A)

= (-9-(-6)=(-6-(-9)

= -9+6= -6+9

= -3 = 3

: Both values are different

Answer 2

Given,

a = -9

b = -6

To Prove,

(a-b) ≠  (b-a)

Solution,

Let  (a-b) be equation 1  and  (b-a) be equation 2

Putting values of a and b given in the question in equation 1,

Equation 1 ⇒ (a-b) = (-9) - (-6)

Equation 1 ⇒ (a-b) = (-9) + 6

Equation 1 ⇒ (a-b) = 6 - 9

Equation 1 ⇒ (a-b) = (-3)

Putting values of a and b given in the question in equation 2,

Equation 2 ⇒  (b-a) = (-6) - (-9)

Equation 2 ⇒  (b-a) = (-6) + 9

Equation 2 ⇒  (b-a) = 9 - 6

Equation 2 ⇒  (b-a) = 3

After solving equation 1 and equation 2, we know that 3 ≠ (-3)

Therefore, Equation 1 ≠  Equation 2

(a-b) ≠  (b-a)

Hence proved that (a-b) is not equal to (b-a).