Question

Five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.

1) n less than or equal to 3
2) 3 less than or equal to n
3) n less than or equal to 8
4) 3 greater than or equal to n

Answer 1

The worded problem translates to n ≤ 3

The options that are solutions to the problem are 1 and 4:

1) n less than or equal to 3, and

4) 3 greater than or equal to n (since 3 ≥ n)

Explanation:

Let's translate the e=words into expressions:

"five plus two times a number n" becomes 5 + 2n

"is less than or equal to eleven" becomes ≤ 11

Put the two expressions together, with the word "is" and the "=" sign:

5 + 2n ≤ 11

Solving:

2n ≤ 11 - 5

2n ≤ 6

n ≤ 3

The options are:

1) n less than or equal to 3 Correct

2) 3 less than or equal to n Incorrect. 3 is greater than or equal to n

3) n less than or equal to 8 Incorrect. n is less than or equal to 3

4) 3 greater than or equal to n Correct 3 ≥ n