/*! 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} Problem 10 Graph each set of real numbers o... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 10

Graph each set of real numbers on a number line. \(\\{x \mid-3 \leq x<7\\}\)

Short Answer

Expert verified
The graph is a line on the number line extending from a closed dot at -3 to an open dot at 7. It represents all real numbers 'x' such that -3 \(\leq x < 7\).

Step by step solution

01

Understand notations

The exercise involves a mathematical inequality that shapes our values. The notation \(-3 \leq x\) signifies that 'x' is greater than or equal to -3. This means that -3 is included in the set of values. The notation \(x<7\) means 'x' is less than 7, so it doesn't include 7.
02

Draw number line

Draw a straight horizontal line to represent the number line. It's important to mark points at regular intervals representing real numbers. Be sure to include -3 and 7, as they are the boundaries of the set.
03

Mark the boundaries

Mark the point -3 with a closed dot because it is included in the set, and mark 7 with an open dot because it's not part of the set. A closed dot is used when a number is included in the set, and an open dot is used when it's not.
04

Draw line

Draw a line along the number line connecting -3 and 7. Remember, the line doesn't extend beyond these points because x only includes values between -3 and 7.

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

Solve the quadratic equations by factoring. \(x^{2}+7 x=18\)

Use FOIL to find the products. \((3 x-7)(4 x-5)\)

Factor: \(x^{2 n}+20 x^{n}+99\).

Solve each equation by the method of your choice. \(x(x+1)=4-(x+2)(x+2)\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(3 x^{2}-x-2\)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

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.