Question

Which of the following points is a solution for the simultaneous inequalities y>4x−2
and y≥−13x+2
?

(1 point)
Responses

(−1, 5)
open paren negative 1 comma space 5 close paren

(5, 2)
open paren 5 comma space 2 close paren

(−4, −2)
open paren negative 4 comma space negative 2 close paren

(0.923, 1.6)

Answer 1

None of them.

Quick checks:
- (−1, 5): 5 > 4(−1)−2 = −6 (true) but 5 ≥ −13(−1)+2 = 15 (false).
- (5, 2): 2 > 4(5)−2 = 18 (false).
- (−4, −2): −2 > 4(−4)−2 = −18 (true) but −2 ≥ −13(−4)+2 = 54 (false).
- (0.923, 1.6): 1.6 > 4(0.923)−2 ≈ 1.692 (false) though it satisfies the second inequality.

So none of the four points satisfy both inequalities.