Let |x| + |y| = c where, c is s real number. determine the number of points that would be on the graph of the equation for each given cases: case 1: c < 0 case 2: c = 0 case 3: c > 0

Step-by-step explanation:

Case 1

The absolute value of a number will not be negative, so the function is the sum of two non-negative numbers. That sum cannot be negative, so there will be no points on the graph.

Case 2

The sum of two non-negative numbers can be zero if they both are zero. This graph will have exactly one point: (x, y) = (0, 0). (In the attached, it doesn't show up.)

Case 3

There are an infinite number of ways two non-negative numbers can sum to a positive number. There will be an infinite number of points on the graph. The line segments in the attached graph illustrate that for c = 1.

answer:   14

step-by-step explanation:          

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