Math

Question Find the range of the given set of ordered pairs: {(7,2),(4,5),(0,4),(10,0)}\{(7,2),(-4,-5),(0,4),(10,0)\}.

Studdy Solution

STEP 1

1. The relation is a set of ordered pairs (x,y)(x, y).
2. The range of a relation is the set of all second elements (y-values) from each ordered pair.
3. The range can be expressed as a set of numbers.

STEP 2

1. Identify the y-values from each ordered pair in the relation.
2. Determine the set of y-values, which constitutes the range.
3. Compare the resulting set with the given options to find the correct answer.

STEP 3

Identify the y-values from each ordered pair in the relation.
The y-values are: 2,5,4,02, -5, 4, 0.

STEP 4

Determine the set of y-values, which constitutes the range.
The range is the set of all y-values: {5,0,2,4}\{-5, 0, 2, 4\}.

STEP 5

Compare the resulting set with the given options to find the correct answer.
The correct answer is D) (5,0,2,4)(-5, 0, 2, 4), which matches the set of y-values we found.

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