Question

now test one value less than the boundary, like -9, and one value greater than the boundary, like -7. start with n = -9. is the inequality statement true or false when n = -9?

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

false
true

Explanation:

Step1: Substitute \( n = -9 \) into the inequality

Substitute \( n = -9 \) into \( -5n \geq 40 \). We get \( -5\times(-9) \geq 40 \).

Step2: Calculate the left - hand side

Calculate \( -5\times(-9) \). According to the rule of multiplying two negative numbers, the result is positive. So \( -5\times(-9)=45 \).

Step3: Compare with the right - hand side

Now we compare \( 45 \) and \( 40 \). Since \( 45\geq40 \) is a true statement.

Answer:

true