Chapter 2: Q. 469 (page 208)

Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| > 6$

Short Answer

Expert verified

The solution of the inequality is $(- \infty, - 6) \cup (6, \infty)$

The graph the inequality can be given as

Step by step solution

Given information

We are given an inequality $|x| < 6$

Isolate the absolute value expression.

$- 6 < x < 6$

Write the equivalent compound inequality.

$- 6 < x$ and $x < 6$

The solution of the inequality is

$(- \infty, - 6) \cup (6, \infty)$

Step 5:

Now we plot the graph of the inequality

Conclusion

The solution of the inequality is $(- \infty, - 6) \cup (6, \infty)$

The graph of the given inequality can be given as

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Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| > 6$

Short Answer

Step by step solution

Given information

Isolate the absolute value expression.

Write the equivalent compound inequality.

The solution of the inequality is

Step 5:

Conclusion

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Most popular questions from this chapter

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Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.x>6

Short Answer

Step by step solution

Given information

Isolate the absolute value expression.

Write the equivalent compound inequality.

The solution of the inequality is

Step 5:

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Calculus

Discrete Mathematics

Mechanics Maths

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with “greater than” In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|x| > 6$