What is the minimum value of abs(286m – 351n – 617) as m, n take a

1.	What is the minimum value of abs(286m – 351n – 617) as m, n take all integer values?Here abs is the absolute value function (that is, if x > 0, then abs(x) = x and if x < 0, then abs(x) = – x).a) 6b) 3c) 2d) 4
Answer» ANSWER: 6 Step-by-step explanation: 286m - 351n - 617 This expression can be written as 13(22m - 27n) - 617 Let's take (22m - 27n) as x That MEANS, the expression can be 13x - 617 Now, consider the factors for 13 nearest to 617 The nearest FACTOR is 611 So, 611 - 617 = - 6 abs(-6) =6.

What is the minimum value of abs(286m – 351n – 617) as m, n take all integer values?Here abs is the absolute value function (that is, if x > 0, then abs(x) = x and if x < 0, then abs(x) = – x).a) 6b) 3c) 2d) 4

Answer»

ANSWER: 6

Step-by-step explanation:

286m - 351n - 617

This expression can be written as

13(22m - 27n) - 617

Let's take (22m - 27n) as x

That MEANS, the expression can be

13x - 617

Now, consider the factors for 13 nearest to 617

The nearest FACTOR is 611

So, 611 - 617 = - 6

abs(-6) =6.

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What is the minimum value of abs(286m – 351n – 617) as m, n take all integer values?Here abs is the absolute value function (that is, if x > 0, then abs(x) = x and if x < 0, then abs(x) = – x).a) 6b) 3c) 2d) 4

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