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Anit [1.1K]
2 years ago
14

Which point is a solution to the system of inequalities graphed here? y ≤ 2x 2 y ≥ -5x 4

Mathematics
1 answer:
Mandarinka [93]2 years ago
7 0

The point that is a solution to the system of inequalities is (5, 0)

<h3>How to determine the points on the solution?</h3>

The system of inequalities is given as:

y ≤ 2x + 2

y ≥ -5x + 4

Next, we test the given options.


From the list of options, we have

(x, y) = (5, 0)

Substitute (x, y) = (5, 0) in y ≤ 2x + 2 and y ≥ -5x + 4

y ≤ 2x + 2

0 ≤ 2 * 5 + 2

0 ≤ 12 -- this is true

y ≥ -5x + 4

0 ≥ -5 * 5 + 4

0 ≥ -21 -- this is true

Since both results are true, then it means that the point that is a solution to the system of inequalities is (5, 0)

Read more about system of inequalities at:

brainly.com/question/24372553

#SPJ1

<u>Complete question</u>

Which point is a solution to the system of inequalities graphed here? y ≤ 2x + 2

y ≥ -5x + 4

A. (1,6)

B. (-6,0)

C. (0,5)

D. (5,0)

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