/*! 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 44 Solve each inequality and graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 44

Solve each inequality and graph the solution set on a number line. \(-x>-3\)

Short Answer

Expert verified
The solution to the inequality, \(-x > -3\), is \(x < 3\). The graphical representation includes all numbers less than 3.

Step by step solution

01

Isolate the Variable

To solve for \(x\), start with the given inequality, \(-x > -3\). Multiply both sides of the inequality by -1 to isolate \(x\). This reverses the inequality symbol to give \(x < 3\).
02

Interpret the Inequality Symbol

The inequality \(x < 3\) means that \(x\) is any number less than 3.
03

Graph the Solution

Draw a number line and mark 3 on the line since it is the highest value \(x\) can take but it can't reach it. Make a open dot on 3 to represent that 3 is not part of the solution (since \(x\) is less than, not equal to, 3). Draw a line extending to the left from 3 to represent all the possible values of \(x\).

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

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(6 x^{2}-11 x+4\)

Solve each equation by the method of your choice. \(\frac{x^{2}}{3}-\frac{x}{2}-\frac{3}{2}=0\)

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}+8 x+15\)

When the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.

Factor the trinomials , or state that the trinomial is prime. Check your factorization using FOIL multiplication. \(x^{2}-7 x-44\)
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

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.