Answer: 27 < 5*X + 7 and 4 < X
Explanation: This is an example of phrased mathematics, let's break it into parts:
"twenty seven is smaller than..."
this is easy, is written as:
27 < ....
"five times a number increased by seven"
here we have 5 times a number, this means a number X multiplied by 5, and after that we increase that number by 7
5*X + 7
putting all togheter, we have:
27 < 5*X + 7
now we can even solve it for X,
first, subtract 7 in both sides.
27 - 7 < 5*X + 7 - 7
20 < 5*X
now, divide by 5 in both sides:
20/5 = 4 < 5*X/5 = X
then we have that 4 < X