2. Solving Inequalities Using Addition or Subtraction
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Remember that fewer than is represented by <.
Inequality: n-9<4
Solution: n<13
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 fewer than,
which is represented by the symbol <.
... < ...
On the left-hand side of the inequality, we have the difference of a number and 9.
4.
We can now form our final answer.
The difference of a number and 9
is fewer than 4
n - 9 < 4
Now we can solve for n.
All real numbers less than 13 will satisfy this inequality.