y≤3x+1x−y>1Which of the following ordered pairs (x,y) satisfies the syste

Question -

$y \leq 3 x + 1$
$x - y > 1$
Which of the following ordered pairs (x,y) satisfies the system of inequalities above?

Options:

A . (-2,-1)

B . (-1, 3)

C . (1,5)

D . (2,-1)

Answer: Option D
:
D

Substitute each of the points in the inequalities to check if the inequality is satisfied.

(-2,-1) does not satisfy either inequality

(-1, 3) does not satisfy either inequality

(1,5) does not satisfy either inequality

(2,-1) satisfies both equalities

Alternatively, plotting the graph of the inequalities,

It can be seen that, only (2,-1) belongs to the solution set. Hence D is the correct choice.

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