Question

For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5

Answer 1

D.

x + y ≤ -4

3x + 2y ≤ -5

Explanation:

it was right on plato

Answer 2

D. x + y ≤ -4

3x + 2y ≤ -5

Explanation:

(3, -7) ⇒ x = 3, y = -7

x + y = 3 + (-7) = -4

3x + 2y = 3•3 + 2(-7) = 9 - 14 = -5

x + y < -4 3x + 2y < -5

A.

-4 < - 4 ← false -5 < -5 ← false

B.

-4 ≤ - 4 ← true -5 < -5 ← false

C.

-4 < - 4 ← false -5 ≤ -5 ← true

D.

-4 ≤ - 4 ← true -5 ≤ -5 ← true