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

(-2,-1)

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(-1, 3)

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(1,5)

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(2,-1)

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Solution

The correct option is D (2,-1)
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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