Question

Question 5 Multiple Choice Worth 1 points) (04.05 MC) Determine if the ordered pair (-1 , -5) is a solution to the inequality y≤-3/4-1
No, because (-1. 5) is above the line
Yes, because (-1, -5) is below the line
No, because (-1, 5) is on the line
Yes, because 1-1, 5) is on the line​

Answer 1

Answer:

(-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.

Step-by-step explanation:

Given the inequality

$y\le -\frac{3}{4}x-1$

substituting (-1, -5)  to check whether it satisfies the inequality or not

$-5\le \:-\frac{3}{4}\left(-1\right)-1$

$-5\:\le \:\frac{3}{4}-1$

$-5\:\le -\frac{1}{4}$

TRUE

Thus, (-1, -5) satisfies the inequality and will be the solution to the inequality.

From the attached figure, it is clear that  (-1, -5) is below the line.

Therefore, the correct option is:

''Yes, because 1-1, 5) is on the line​''.