If |x-16| is less than or equal to 4 and |y-6| is less than or equal to 2, what is the greatest possible value of x-y?

Question

Donald Huffman

Mathematics

19 February, 08:51

If |x-16| is less than or equal to 4 and |y-6| is less than or equal to 2, what is the greatest possible value of x-y?

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Answers (1)

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Scarlett Ray · Answer 1

16

Step-by-step explanation:

|x - 16| less than/equal to 4

Means x can be between;

-4+16 and 4+16, i. e [12,20]

|y - 6| less than/equal to 2

Means x can be between,

-2+6 and 2+6, i. e [4,8]

x - y would be greatest when x is greatest and y is least:

20 - 4 = 16