2. Solving Inequalities Using Addition or Subtraction
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Remember that greater than is represented by >.
Inequality: n+8>11
Solution: n>3
To write a verbal inequality in algebraic terms, we will start by identifying the inequality symbol we need to use and placing it in the center of our statement. In this case, we have greater than,
which is represented by the symbol >.
... > ...
On the left-hand side of the inequality, we have a number plus 8,
which we will express as a sum.
11.
We can now form our final answer.
A number plus 8 is greater than 11
n + 8 > 11
Now we can solve for n.
All real numbers greater than 3 will satisfy this inequality.