Chapter 8: Q9. (page 400)

Solve the inequality. Graph the solution.
$x + 14 < 25$

Short Answer

Expert verified

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

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{matrix} x + 14 < 25 (Giveninequality) \\ x + 14 - 14 < 25 - 14 (Subtracting1 4 frombothsides) \\ x < 11 \end{matrix}

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

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 $(- \infty, 11)$ .

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Solve the inequality. Graph the solution.
$x + 14 < 25$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

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Solve the inequality. Graph the solution.x+14<25

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Calculation.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Discrete Mathematics

Pure Maths

Calculus

Applied Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve the inequality. Graph the solution.
$x + 14 < 25$