Question

is the inequality statement true or false when n = -7?

	n = -9	n = -8 (boundary)	n = -7
-5n ≥ 40	true	true	check box

Explanation:

Step1: Substitute \( n = -7 \) into the inequality

We have the inequality \( -5n \geq 40 \). Substitute \( n=-7 \) into the left - hand side of the inequality: \( -5\times(-7) \).
According to the rule of multiplying two negative numbers (the product of two negative real numbers is positive), we get \( -5\times(-7)=35 \).

Step2: Compare with the right - hand side

Now we need to check if \( 35\geq40 \). Since \( 35 \) is less than \( 40 \) (i.e., \( 35<40 \)), the inequality \( -5n\geq40 \) is not satisfied when \( n = - 7 \).

Answer:

false