Question

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

• A. (-2,-1)
• B. (-1, 3)
• C. (1,5)
• D. (2,-1)

Answer 1

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.