Question

Twenty seven is smaller than five times a number increased by seven

Answer 1

The answer is 27<5n+7

Answer 2

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