The phrase is more than divides the sentence into what should be on the left-hand side and what should be on the right-hand side of the inequality.
Inequality: 4 + x> 13 Solution: x> 9
Practice makes perfect
We are given a verbal expression and we want to write an inequality that it represents. Then, we will solve the inequality.
Four more than a number is more than13
Let's start by defining a variable. We can name a number in the sentence as x.
Four more than xis more than13
Every inequality has an inequality symbol and values or expressions on either side of this symbol. In this exercise, we have the phrase more than, so we can identify that the inequality symbol should be >.
Four more thanx > 13
On the left-hand side, we have one key phrase: more than. These words tell us the operations that will be used in our inequality. More than indicates addition.
4 more than x
4 + x
On the right-hand side, we have a constant. Putting these sides together, we have a complete inequality.
Four more than a number is more than 13.
4 + x > 13
Finally, we can solve the inequality. To do so, we will use the Subtraction Property of Inequality. This will eliminate the addition and isolate x.
