Question

Consider the inequality nx+5 is less than or equal to -10. Which value of n will result in the solution -3 is greater than or equal to x?

Answer 1

The answer to the question is 5

Answer 2

n=5

Explanation:

Solving for x:

• nx + 5 ≤ -10
• nx ≤ - 15
• x ≤ -15/n

We are looking for the solution: -3 ≥ x ⇔ x ≤ -3

Then

• -15/n = -3
• n = 15/3
• n = 5