Question

Which of the following points satisfies the inequality x - y > 0? (-2, 1) (4, 9) (3, -10) (3, 3)

Answer 1

Answer: (3, -10)

Step-by-step explanation:

The given inequality : $x - y > 0$

Lets check all points to see which point satisfy this inequality.

For (-2, 1) , put x= -2 and y= 1 , we get

$-2 - 1 > 0$

$\Rightarrow\ -3 > 0$ , which is not true.

For (4, 9) , put x= 4 and y=9 , we get

$4-9 > 0$

$\Rightarrow\ -5 > 0$ , which is not true.

For  (3, -10) , put x= 3 and y=10 , we get

$3-(-10) > 0$

$\Rightarrow\ 3+10 > 0$

$\Rightarrow\ 13 > 0$ , which is true.

For  (3, 3) , put x= 3 and y=3 , we get

$3-3 > 0$

$\Rightarrow\ -0 > 0$ , which is impossible.

Hence, point (3, -10) satisfies the given inequality x - y > 0 .

Answer 2

The point satisfying the inequality is (3,-10)
3 - (-10) = 3 + 10 = 13 and > 0