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Expert-verified Found in: Page 400 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Solve the inequality. Graph the solution. $x+14<25$

The solution for our given inequality would be $x<11$ and in interval notation $\left(-\infty ,11\right)$.

See the step by step solution

## Step 1. Given Information.

An equation: $x+14<25$

## Step 2. Calculation.

We will solve our given inequality using opposite operations as shown below:

$\begin{array}{c}x+14<25\text{ (Given inequality)}\\ x+14-14<25-14\left(\text{Subtracting 1}4\text{ from both sides)}\\ x<11\end{array}$

Therefore, the solution for our given inequality would be all values of x less than 11. The solution of our given inequality in interval notation would be $\left(-\infty ,11\right)$.

Since 11 is not a solution of our given inequality, so we will have an open dot at $x=11$. Upon graphing solution of our given inequality, we will get: ## Step 3. Conclusion.

The solution for our given inequality would be $x<11$ and in interval notation $\left(-\infty ,11\right)$. ### Want to see more solutions like these? 