Question

Write an inequality in two variables for which (3, 7) and (−2, 3) are solutions.

Answer 1

Answer:

We conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

• $x+y>0$

Step-by-step explanation:

Let us check the inequality

$x+y > 0$

Given the ordered pairs

• (3, 7)

• (-2, 3)

Let us check (3, 7) to determine if $x+y > 0$ is a solution or not

$x+y > 0$

$3+7 > 0$

$10 > 0$

Thus, (3, 7) satisfies the inequality $x+y > 0$

Now, let us check (-2, 3) to determine if $x+y > 0$ is a solution or not

$x+y > 0$

-2 + 3 > 0

1 > 0

Thus,  (-2, 3) satisfies the inequality $x+y > 0$

Therefore, we conclude that the inequality in two variables for which (3, 7) and (−2, 3) are solutions will be:

• $x+y>0$