Which of the points P 5 minus 1 Q 3 minus 2 and R 1 1 lie in the solution of the system of inequatio...........

Quantitative Aptitude (CDS) Quadratic Equations

Which of the points P (5, −1),Q (3, −2) and R (1, 1) lie in the solution of the system of inequations x + y $\leq$ 4 and x − y $\geq$ 2 ?

Q and R

P and R

P and Q

P,Q and R

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Explanation:

Given points are P(5, − 1), Q(3, − 2) and R(1, 1). If points P, Q and R lie in the solution of inequations x + y $\leq$ 4 and x − y $\geq$ 2 then points P, Q and R satisfy these equations.
For point P(5, − 1),5 − 1 $\leq$ 4 [true]
5 + 1 $\geq$ 2 [true]
For point Q(3, − 2),3 − 2 $\leq$ 4 [true]
3 + 2 $\geq$ 2 [true]
and for point R (1, 1), 1 + 1 $\leq$ 4 [true]
1 − 1 $\geq$ 2 [false]
So, the point R (1, 1) does not satisfy the equations. Hence, points Pand Q lie in the solution of equations.