Nine more than a number is greater than three times the number decreased by five. Write an inequality to represent this relationship.
x>7
To write an inequality to represent this relationship, let's break down the given information step by step:
1. "Nine more than a number": Let's represent the number as "x." Therefore, "nine more than a number" can be written as "x + 9."
2. "Three times the number decreased by five": "Three times the number" can be written as "3x," and "decreased by five" can be represented as "- 5." Therefore, "three times the number decreased by five" can be written as "3x - 5."
Now, combining both parts of the information, the inequality becomes:
x + 9 > 3x - 5