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1. Recall the definition of red, green, blue numbers. Let R denote the set of red numbers. Let G be the set of green num...

1. Recall the definition of red, green, blue numbers. Let R denote the set of red numbers. Let G be the set of green numbers, and let B denote the set of blue numbers. Is R S G S B = Z. Here Z is the set of all intergers. Explain.

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Answer #1

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RGB (red, green, and blue) refers to a system for representing the colors to be used on a computer display. Red, green, and blue can be combined in various proportions to obtain any color in the visible spectrum. Levels of R, G, and B can each range from 0 to 100 percent of full intensity. Each level is represented by the range of decimal numbers from 0 to 255 (256 levels for each color), equivalent to the range of binary numbers from 00000000 to 11111111, or hexadecimal 00 to FF. The total number of available colors is 256 x 256 x 256, or 16,777,216 possible colors.

Here we can not produce negative integers hence RSGSB not equal to Z , where Z is the set of all integers.

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