/*! 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 21 Solve each inequality and graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 21

Solve each inequality and graph the solution set on a number line. \(3 x \geq-15\)

Short Answer

Expert verified
The solution to the inequality \(3x \geq -15\) is \(x \geq -5\). The graph would show a filled circle at -5 with an arrow extending to the right, signifying that x can be any number equal to -5 or greater.

Step by step solution

01

Divide each side of the inequality by 3

The inequality given is \(3x \geq -15\). To isolate x, we need to divide each side of the inequality by 3. This gives us \(x \geq -15/3\).
02

Simplify the inequality

The inequality simplifies to \(x \geq -5\). This indicates that x can be any real number greater than or equal to -5.
03

Graph the solution set

On a number line, indicate the point -5 and draw a circle around it. Because it's inclusive (x can be -5), the circle should be filled. Draw an arrow to the right of -5 to signify x being any number greater than -5.

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 equations using the quadratic formula. \(3 x^{2}=5 x-1\)

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I began the solution of \(5-3(x+2)>10 x\) by simplifying the left side, obtaining \(2 x+4>10 x\).

Solve each equation by the method of your choice. \(3 x^{2}-6 x-3=12-6 x\)

The radicand of the quadratic formula, \(b^{2}-4 a c\), can be used to determine whether \(a x^{2}+b x+c=0\) has solutions that are rational, irrational, or not real numbers. Explain how this works. Is it possible to determine the kinds of answers that one will obtain to a quadratic equation without actually solving the equation? Explain.

Solve the equations using the quadratic formula. \(x^{2}-3 x=18\)
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Calculus

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.