What is the correct way to write an inequality for the following statement? Eleven less than five times a number n

is greater than or equal to 15.(1 point)
Responses

5n−11≥15
5 n minus 11 greater-than-or-equal-to 15

11−5n≥15
11 minus 5 n greater-than-or-equal-to 15

5n−11≤15
5 n minus 11 less-than-or-equal-to 15

5n−11>15
5 n minus 11 greater than 15

1 answer

The statement "Eleven less than five times a number \( n \) is greater than or equal to 15" can be translated into an inequality as follows:

  1. "five times a number \( n \)" is represented as \( 5n \).
  2. "eleven less than five times a number" means we subtract 11 from \( 5n \), which gives us \( 5n - 11 \).
  3. The phrase "is greater than or equal to 15" translates to the inequality \( \geq 15 \).

Combining these parts, we get the inequality:

\[ 5n - 11 \geq 15 \]

So, the correct response is:

5n − 11 ≥ 15