Question

Which of these ordered pairs is a solution to the linear inequality y – 3x ≤ –8?

Answer 1

C is correct. (1,-5)

-5 - 3(1) =
-5 + - 3 = -8

Answer 2

Answer:

C. (1, -5)

Step-by-step explanation:

If the ordered pair is a solution to the system, then it must satisfy the equation.

The given linear inequality is,

$y-3x \leq -8$

A. (-2, 4)

$\Rightarrow 4-3(-2) \leq -8$

$\Rightarrow 4+6 \leq -8$

$\Rightarrow 10\nless -8$

So it is not the solution to the system.

B. (1, 3)

$\Rightarrow 3-3(1) \leq -8$

$\Rightarrow 3-3 \leq -8$

$\Rightarrow 0\nless -8$

So it is not the solution to the system.

C. (1, -5)

$\Rightarrow -5-3(1) \leq -8$

$\Rightarrow -5-3 \leq -8$

$\Rightarrow -8\leq -8$

As it satisfies the equation, so it is the solution of the system.

D. (3, 4)

$\Rightarrow 4-3(3) \leq -8$

$\Rightarrow 4-9 \leq -8$

$\Rightarrow -5\nless -8$

So it is not the solution to the system.