Chapter 5: Q14. (page 323)

Solve each inequality. Then graph it on a number line.
$- 5 < a + 2$

Short Answer

Expert verified

The solution of the given inequality $- 5 < a + 2$ is $a > - 7$ .

The graph of the solution of the given inequality $- 5 < a + 2$ that is graph of $a > - 7$ is:

Step by step solution

Step 1. Write the subtraction property of inequalities.

The subtraction property of inequalities states that if the same number is subtracted from each side of a true inequality, the resulting inequality is also true that is:

(i) If $a > b$ , then $a - c > b - c$ .

(ii) If $a < b$ , then $a - c < b - c$ .

Step 2. Solve the given inequality.

The solution of the given inequality $- 5 < a + 2$ is:

$\begin{matrix} - 5 < a + 2 \\ - 5 - 2 < a + 2 - 2 \\ - 7 < a \\ a > - 7 \end{matrix} (byusingsubtractionpropertyofinequality)$

Therefore, the solution of the given inequality $- 5 < a + 2$ is $a > - 7$ .

Step 3. Draw the graph of the inequality a>−7.

The graph of the solution of the given inequality $- 5 < a + 2$ that is graph of $a > - 7$ is:

It can be noticed that at $a = - 7$ , there is open circle because $- 7$ is not included in the inequality $a > - 7$ .

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Solve each inequality. Then graph it on a number line.
$- 5 < a + 2$

Short Answer

Step by step solution

Step 1. Write the subtraction property of inequalities.

Step 2. Solve the given inequality.

Step 3. Draw the graph of the inequality a>−7.

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Solve each inequality. Then graph it on a number line.−5<a+2

Short Answer

Step by step solution

Step 1. Write the subtraction property of inequalities.

Step 2. Solve the given inequality.

Step 3. Draw the graph of the inequality a>−7.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Decision Maths

Statistics

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Solve each inequality. Then graph it on a number line.
$- 5 < a + 2$