/*! 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 16 Solve each inequality and graph ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 6: Problem 16

Solve each inequality and graph the solution set on a number line. \(x-5 \geq 1\)

Short Answer

Expert verified
The solution to the inequality is \(x \geq 6\). This is graphed on a number line as a closed circle on 6, with a line extending to the right of 6.

Step by step solution

01

Isolate the variable

The first step is to isolate x. To do this, add 5 to both sides of the inequality. This gives \(x \geq 1+5\).
02

Simplify the inequality

By adding 1 and 5, we get \(x \geq 6\). This means that x is greater than or equal to 6.
03

Graph the solution on a number line

Now plot the result on a number line: Draw a solid circle on 6 to indicate that 6 is included in the solution set. Then draw a line to the right from 6, indicating that all numbers greater than 6 are also 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

Solve the quadratic equations by factoring. \(2 x^{2}=7 x+4\)

Solve the equations using the quadratic formula. \(x^{2}+6 x-10=0\)

Solve each equation using the zero-product principle. \((x+11)(x-5)=0\)

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

Solve the equations using the quadratic formula. \(x^{2}+2 x=4\)
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Probability and Statistics

Read Explanation

Geometry

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.