the sum of a number increased and fourteen is less than or equal to three times the number

Question

the sum of a number and fourteen is less than or equal to three times the number

Answer 1

Hi, Kayl

Okay, so the sum of a number (n) and 14 is less than or equal to three times the number (3n)

n + 14 ≤ 3n

Now, solve for n:

14 + n - n ≤ 3n - n

14 ≤ 2n

14/2 ≤ 2n/2

7 ≤ n

So, n ≥ 7

Now, you can check your answer:

Let n = 7

n + 14 ≤ 3n

7 + 14 ≤ 21

21 ≤ 21.... this answer is true

Now, if n = 8 :

8 + 14 ≤ 24

22 ≤ 24 .....this is still true so our answer is correct

Answer 2

n+14≤3n

The only trick here is to remember what happens to the inequality when you multiply by -1

or you can solve it this way

14≤2n

and n≥7