Chapter 1: Q8. (page 44)

Solve each inequality. Graph the solution set on a number line.
$y - 3 > 1 o r y + 2 < 1$

Short Answer

Expert verified

The solution of inequalities is $y > 4 o r y < - 1$

Step by step solution

-Write the inequalities

The inequality for the numbers greater than 1 is $y - 3 > 1$ .

The inequality for the numbers less than 1 is $y + 2 < 1$ .

A compound inequality containing the word ‘or’ is true if one or more of the inequalities is true.

– Apply the definition of compound inequality

Write the compound inequality with word or as follows:

$y - 3 > 1$ or $y + 2 < 1$

$y > 1 + 3$ or $y < 1 - 2$

$y > 4$ or $y < - 1$

– Graph of the solution set

The graph for the inequality $y > 4$ or $y < - 1$ is shown as below

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Solve each inequality. Graph the solution set on a number line.
$y - 3 > 1 o r y + 2 < 1$

Short Answer

Step by step solution

-Write the inequalities

– Apply the definition of compound inequality

– Graph of the solution set

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Solve each inequality. Graph the solution set on a number line.y-3>1ory+2<1

Short Answer

Step by step solution

-Write the inequalities

– Apply the definition of compound inequality

– Graph of the solution set

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Solve each inequality. Graph the solution set on a number line.
$y - 3 > 1 o r y + 2 < 1$