/*! 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 122 Solve each inequality using a gr... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 122

Solve each inequality using a graphing utility. Graph each side separately. Then determine the values of \(x\) for which the graph on the left side lies above the graph on the right side. $$-2(x+4)>6 x+16$$

Short Answer

Expert verified
The exact solution will depend on how the functions are graphed and may need verification. This is a visual approach, and the solution lies in the interval of x-values where the graph of \( y1 = -2(x+4) \) is above the graph of \( y2 = 6x+16 \).

Step by step solution

01

Rewrite

Rewrite the inequality \( -2(x+4)>6x+16 \) into two equations to visually graph them. They are \( y1 = -2(x+4) \) and \( y2 = 6x+16 \)
02

Graph Equations

Plot the functions \( y1 = -2(x+4) \) and \( y2 = 6x+16 \) on a graphing utility. It is important to see the parts of two graphs in relation to each other.
03

Determine Solution

The solution to the inequality is the interval of x-values where the graph of \( y1 = -2(x+4) \) lies above the graph of \( y2 = 6x+16 \). Carefully observe where the first function is higher than the second function to find the interval of solution.

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

In Exercises \(9-20,\) find each product and write the result in standard form. $$(-4-8 i)(3+9 i)$$

Solve each rational inequality in Exercises \(29-48,\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \frac{x}{x+2} \geq 2 $$

In Exercises \(9-20,\) find each product and write the result in standard form. $$(5-2 i)^{2}$$

In Exercises \(73-74\), use the method for solving quadratic inequalities to solve each higher-order polynomial inequality. $$ x^{3}+2 x^{2}-x-2 \geq 0 $$

Solve each quadratic inequality in Exercises \(1-28\) and graph the solution set on a real number line. Express each solution set in interval notation. $$ \left|x^{2}+2 x-36\right|>12 $$
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Decision Maths

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.