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Maths-

SAT

Easy

Question

y ≥ -2x + 11
y > 3x - 9
In the xy-plane, point A is contained in the graph of the solution set of the system of inequalities above. Which of the following could be the coordinates of point A ?

(2, 1)
(4, 1)
(4, 5)
(6, 6)

The correct answer is: (4, 5)

$y greater or equal than negative space 2 x plus space 11 y greater than 3 x minus 9$
Option : A (2,1)
$y greater or equal than negative 2 x plus 11 1 greater or equal than negative 2 left parenthesis 2 right parenthesis space plus space 11 1 greater or equal than comma 7$
Doesn't work
Option : B (4,1)
$y greater or equal than comma negative 2 x plus 11 1 greater or equal than comma space minus space 2 space left parenthesis 4 right parenthesis space plus space 11 1 greater or equal than space 3$
Doesn't work.
Option : C (4,5)
$y greater or equal than comma negative 2 x plus 11 5 greater or equal than comma negative 2 left parenthesis 4 right parenthesis plus 11 5 greater or equal than comma 3 y greater than 3 x minus 9 5 greater than space 3 left parenthesis 4 right parenthesis space minus space 9 5 space greater than space minus space 2 space$
$therefore$ Option ''C'' is correct.

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