Step-by-step explanation:

To check which pairs of integers satisfy the equation a+b=2, we can simply add the two numbers in each pair and see if the result is equal to 2.

(a) (-6, -3): -6 + (-3) = -9, not equal to 2.

(b) (-2, 1): -2 + 1 = -1, not equal to 2.

(c) (-10, -5): -10 + (-5) = -15, not equal to 2.

(d) (8, 4): 8 + 4 = 12, not equal to 2.

Therefore, none of the given pairs of integers satisfy the equation a+b=2.

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Concept:

We need to first recall the concept of division.

Division is the concept of dividing the dividend by divisor.

Given:

A pair of integer (a,b) such that a / b = 2

To find:

A pair from the options which does not satisfy the given condition.

Solution:

In option (a)

(a, b) = (- 6, - 3)

a / b = (- 6) / (- 3)

= 2

so, option (a) satisfies the given condition.

In option (b)

(a, b) = (- 2, 1)

a / b = (- 2) / (1)

=-2

so, option (b) does not satisfies the given condition.

In option (c)

(a, b) = (- 10, - 5)

a / b = (- 10) / (- 5)

= 2

so, option (c) satisfies the given condition.

In option (d)

(a,b) = (8,4)

a+b= (8)+(4)

= 2

so, option (d) satisfies the given condition.

Hence, the pair (-2,1) does not represent pair of integers (a,b) such that

a+b= 2.

option(b) is correct choice.

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