Which of the following points is a solution to the system of linear inequalities?

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Question

Which of the following points is a solution to the system of linear inequalities?

http://media.education2020.com/evresources/2003-11-05-00-00_files/i0090000.jpg

anonymous · Answer

@SolomonZelman

midhun.madhu1987 · Answer

is it x<=1?

anonymous · Answer

A.
	
(1, 1)
B.
	
(–2, 2)
C.
	
(5, 3)
D.
	
(–4, 4)

anonymous · Answer

Just try your points in both inequalities, if the replacement turn out to be true for both of the inequalities, then that's your answer.
For example
Point A(1,1)

$$y \le 2*(1)-5$$ which implies
$$y \le -3$$

And your second inequality

$$y > -3*(1)$$ which implies
$$y > -3$$
As the second one is strict, there's no intersection and that point does not belong to the solution.