Use the image to answer the question.

Question

Which point is a soltion to the simultaneous inequalities y>12x and y>13x+3?

(1 point)
Responses

(3,6)
(3,6)

(25,12)
(25,12)

(10,5)
(10,5)

(2,2)

Answer 1

To determine which point is a solution to the simultaneous inequalities \( y > 12x \) and \( y > 13x + 3 \), we will evaluate each point against both inequalities.

1. Point (3, 6):

   • For \( y > 12x \):
     • \( 6 > 12(3) \) → \( 6 > 36 \) (False)
   • This point does not satisfy the first inequality.

2. Point (25, 12):

   • For \( y > 12x \):
     • \( 12 > 12(25) \) → \( 12 > 300 \) (False)
   • This point does not satisfy the first inequality.

3. Point (10, 5):

   • For \( y > 12x \):
     • \( 5 > 12(10) \) → \( 5 > 120 \) (False)
   • This point does not satisfy the first inequality.

4. Point (2, 2):

   • For \( y > 12x \):
     • \( 2 > 12(2) \) → \( 2 > 24 \) (False)
   • This point does not satisfy the first inequality.

None of the points provided are solutions to the inequalities \( y > 12x \) and \( y > 13x + 3 \). Please check the points or images provided for additional context or corrections.