Question

The point (0 0) is a solution to which of these inequalities

Answer 1

(0, 0) is the solution of the inequality y - 9 > 3x - 10.

Explanation:

Given the solution point

• (0, 0)

Let us substitute the point (0, 0) in the inequality to determine which inequality satisfies the equation or not.

CHECKING FOR

• y - 9 > 3x + 10

y - 9 > 3x + 10

substiture (0, 0) i.e. x = 0, y = 0 in the inequality

0 - 9 > 3(0) + 10

-9 > 10

FALSE

CHECKING FOR

• y - 9 > 3x - 10

y - 9 > 3x - 10

substiture (0, 0) i.e. x = 0, y = 0 in the inequality

0 - 9 > 3(0) - 10

-9 > 10

True

CHECKING FOR

• y + 9 > 3x + 10

y + 9 > 3x + 10

substiture (0, 0) i.e. x = 0, y = 0 in the inequality

0 + 9 > 3(0) + 10

9 > 10

FALSE

Therefore, we conclude that only the second inequality i.e. y - 9 > 3x - 10 satisfies the inequality.

Hence, (0, 0) is the solution of the inequality y - 9 > 3x - 10.