twice a number,n, subtracted form 36 is less than 15 more than one third the number. Find all possible values for the number. SHOW ALL WORK FOR BRAINIEST ANSWER!!!!

Respuesta :

Twice (2 x ) a number (n), subtracted (-) from 36, is less than (<) 15 more than (+) one-third (1/3) the number (n).

36 - 2n < 15 + 1/3n   Subtract 15 from both sides
21 - 2n < 1/3n           Add 2n to both sides
       21 < 7/3n           Multiply both sides by 3/7 to cancel out the fraction
    63/7 < n                Simplify the fraction
         9 < n                Switch the sides to make it easier to read
         n > 9

The possible values for the number are anything over 9.