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20 votes
20 votes
Which ordered pair makes both inequalities true?

AN
3
NO
y> -2x + 3
Ysx-2
ist -3 -2 -1

Which ordered pair makes both inequalities true? AN 3 NO y> -2x + 3 Ysx-2 ist -3 -2 -1-example-1
User Ewout Kramer
by
2.2k points

1 Answer

24 votes
24 votes

Answer:

(3, 0)

Explanation:

Given the inequality y > -2x + 3 and y ≤ x - 2

The graph of the inequalities are plotted using the geogebra graphing online calculator.

The portion of the graph that is shaded with dark blue, represents the portion that supports the equation.

All the ordered pair points given in the question are also labelled in the graph.

From the graph we can see that only point (3, 0) falls in the area that supports the equation. Hence (3, 0) makes both inequalities true.

Which ordered pair makes both inequalities true? AN 3 NO y> -2x + 3 Ysx-2 ist -3 -2 -1-example-1
User Adrian Ratnapala
by
2.7k points