Question

Which ordered pairs are solutions to the inequality x+3y≥−8? Select each correct answer.

Answer 1

Answer:

A. $(-1,-2)$

D. $(-6,0)$

E. $(-5,-1)$

Step-by-step explanation:

We have been given an inequality $x+3y\geq -8$. We are asked to find the ordered pairs that are solution to the given inequality.

Let us check each ordered pair by substituting in the given inequality.

A. $(-1,-2)$

$-1+3(-2)\geq -8$

$-1-6\geq -8$

$-7\geq -8$

Since the given inequality holds true, therefore, ordered pair $(-1,-2)$ is a solution for the inequality.

B. $(-16,2)$

$-16+3(2)\geq -8$

$-16+6\geq -8$

$-10\geq -8$

Since the given inequality is not true, therefore, ordered pair $(-16,2)$ is not solution for the inequality.

C. $(0,-3)$

$0+3(-3)\geq -8$

$0-9\geq -8$

$-9\geq -8$

Since the given inequality is not true, therefore, ordered pair $(0,-3)$ is not solution for the inequality.

D. $(-6,0)$

$-6+3(0)\geq -8$

$-6+0\geq -8$

$-6\geq -8$

Since the given inequality holds true, therefore, ordered pair $(-6,0)$ is a solution for the inequality.

E. $(-5,-1)$

$-5+3(-1)\geq -8$

$-5-3\geq -8$

$-8\geq -8$

Since the given inequality holds true, therefore, ordered pair $(-5,-1)$ is a solution for the inequality.

Answer 2

x+3.y≥−8

Let x ≥ -5 And y ≥ -1 , Then:

(-5) + 3(-1) ≥ -8  . The solution is (-5 , -1)