how to solve math mystery numbers

Question

Clue: Subtract 5 from f and the answer is greater than 7.     The number f is less than 13.

Inequality:

Solution set:  

               

b.Graph the soulution set that make both inequlities true.

10, 11,12,13,14,15

c.list three numbers that could be the mystery numbers.

Check that they are in the solution sets for both inequlities.

possible numbers f could be:..................................

Answer 1

f - 5 > 7
f > 12

f < 13

So 12 < f < 13

Try it with 12.5, or any other number between 12 and 13