Question

Which of the following points shows a solution to the simultaneous inequalities y>12x+5
and y<−2x+1
?(1 point)
Responses

(−5,5)
left parenthesis negative 5 comma 5 right parenthesis

(4,8)
left parenthesis 4 comma 8 right parenthesis

(1,5.5)
left parenthesis 1 comma 5.5 right parenthesis

(−1.6,

Answer 1

Check each point in both inequalities.

For (−5, 5):
- 12x + 5 = 12(−5) + 5 = −55, and 5 > −55 (true).
- −2x + 1 = −2(−5) + 1 = 11, and 5 < 11 (true).

(−5, 5) satisfies both, so it is a solution.