Chapter 2: Q. 465 (page 208)

Solve Absolute Value Inequalities with "less than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|6 x - 5| < 7$

Short Answer

Expert verified

The solution of the inequality is $(- \frac{1}{3}, 2)$

The graph of the inequality can be given as

Step by step solution

Given information

We are given an inequality $|6 x - 5| < 7$

Concept usedIsolate the absolute value expression

$- 7 < 6 x - 5 < 7$

Concept usedWrite the equivalent compound inequality

$- 2 < 6 x < 12$

concept used Solve the compound inequality by dividing each term by 6

$- \frac{1}{3} < x < 2$

Now we plot the graph on the inequality

Conclusion

The solution of the inequality is $(- \frac{1}{3}, 2)$

The graph of the inequality is

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Solve Absolute Value Inequalities with "less than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|6 x - 5| < 7$

Short Answer

Step by step solution

Given information

Concept usedIsolate the absolute value expression

Concept usedWrite the equivalent compound inequality

concept used Solve the compound inequality by dividing each term by 6

Now we plot the graph on the inequality

Conclusion

One App. One Place for Learning.

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Solve Absolute Value Inequalities with "less than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.6x-5<7

Short Answer

Step by step solution

Given information

Concept usedIsolate the absolute value expression

Concept usedWrite the equivalent compound inequality

concept used Solve the compound inequality by dividing each term by 6

Now we plot the graph on the inequality

Conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Applied Mathematics

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve Absolute Value Inequalities with "less than" In the following exercises, solve each inequality. Graph the solution and write the solution in interval notation.
$|6 x - 5| < 7$