Question

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solution set of this problem?

Answer 1

4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==

Answer 2

x>16

Explanation:

Let x be the unknown number

Given that 9 and one half less than 4 and one half times x is > 62.5

In algebraic terms this can be written as

4.5x-9.5>62.5

Add 9.5 to both the sides

We get

4.5 x> 72

Divide by 4.5

x>72/4.5 = 16

Hence answer is

x>16