/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 26 Solve each inequality. Describe ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Q. 26 (page 51)

Solve each inequality. Describe the solution set using set builder or interval notation. Then graph the solution set on a number line.

3q+7鈮�13

Short Answer

Expert verified

Solution set of inequality is [2,+鈭�).

Solution set on number line is

Step by step solution

01

Step 1. Write properties of inequality.

Properties of inequalities are written in following table:

02

Step 2. Solve 3q+7≥13.

To solve given inequality, use subtraction and division properties of inequality. Subtract 7 from each side and do not change the sign of inequality then divide each side by 3 and simplify.

3q+7鈭�7鈮�13鈭�73q3鈮�63q鈮�2

Thus, solution is q鈮�2.

03

Step 3. Describe solution set in interval notation.

Assolution set of the inequality is all real numbers greater than or equal to 2.

Write the solution set in interval notation.

[2,+鈭�)
04

Step 4. Graph the solution set.

Closed circle on 2 shows this point is included in the solution set.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Name the sets of numbers to which all of the following numbers belong. Then arrange the numbers in order from least to greatest.

2.49炉,2.49炉,2.4,2.49,2.9炉

Write expressions having values from one to ten using exactly four 4s. You may use any combination of the operation symbols +,-,脳,梅,and/or grouping symbols, but no other numbers are allowed. An example of such an expression with a value of zero is 4+4-4+4

Simplify each expression

1216-4a-3412+20a

In 1950, the average price of a car was about \(2000. This may sound inexpensive, but the average income in 1950 was much less than it is now. To compare dollar amounts over time, use the formula V=ASC, where A is the old dollar amount, S is the starting year鈥檚 Consumer price index (CPI), C is the converting year鈥檚 CPI, and V is the current value of the old dollar amount. Buying a car for \)2000in 1950 was like buying a car for how much money in 2000?

Year

Average CPI

1950

42.1

1960

29.6

1970

38.8

1980

82.4

1990

130.7

2000

174.0

Name the sets of numbers to which each number belongs.
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.