Which one are these paired to the solution

Option b and d.

Step-by-step explanation:

Given equation : -5x + 4y > -7

Putting the values of x and y one by one in the options,

a) Putting x as 6 and y as 4.

=> -5(6) + 4(4) > -7

=> -30 + 16 > -7

=> -14 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

Similarly,

b) Putting x as 5 and y as 5.

=> -5(5) + 4(5) > -7

=> -25 + 20 > -7

=> -5 > -7

This satisfies the inequality, hence this is the ordered pair.

c) Putting x as 3 and y as 2.

=> -5(3) + 4(2) > -7

=> -15 + 8 > -7

=> -7 > -7

This doesn't satisfy the inequality, hence this couldn't be the ordered pair.

d) Putting x as -2 and y as -4.

=> -5(-2) + 4(-4) > -7

=> 10 - 16 > -7

=> -6 > -7

This satisfies the inequality, hence this is the ordered pair.

Hope it helps :)