Open in App
Log In Start studying!

Select your language

Suggested languages for you:
Deutsch (DE)
Deutsch (UK)
Deutsch (US)

Americas

Europe

Chapter 12: Chapter 12

Problem 251

Next question

Solve the inequality \(2 x+5>9\)

Short Answer

Expert verified
The solution to the inequality \(2x + 5 > 9\) is \(x > 2\).
See the step by step solution

Step by step solution

Unlock all solutions

Get unlimited access to millions of textbook solutions with Vaia Premium

Try Premium for free

Over 22 million students worldwide already upgrade their learning with Vaia!

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Subtract 5 from both sides

To isolate the term with the variable (2x), we will subtract 5 from both sides of the inequality: \(2x + 5 - 5 > 9 - 5\) This simplifies to: \(2x > 4\)

Step 2: Divide by 2

Now, to isolate x, we will divide both sides of the inequality by 2: \(\frac{2x}{2} > \frac{4}{2}\) This simplifies to: \(x > 2\) So the solution to the inequality \(2x + 5 > 9\) is \(x > 2\).

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Access millions of textbook solutions in one place

  • Access over 3 million high quality textbook solutions
  • Access our popular flashcard, quiz, mock-exam and notes features
  • Access our smart AI features to upgrade your learning
Get Vaia Premium now
Access millions of textbook solutions in one place

Most popular questions from this chapter

Chapter 12

Solve the inequality \(|2 \mathrm{x}-3| \leq 4\).
Chapter 12

Solve \(-3(x-5)>x+7\)
Chapter 12

What is the set \(\\{\mathrm{x}<-2\\} \cap\\{\mathrm{x}>3\\} ?\)Inequalities With Two Variables
Chapter 12

Find the values of \(x\) satisfying the statement \(|(x / 3)-7| \geq 5\)
Chapter 12

Find the solution set of the inequality \(|-2 x+6|>8\)
See all solutions

More chapters from the book ‘Algebra and Trigonometry’

See all chapters

Join over 22 million students in learning with our Vaia App

The first learning app that truly has everything you need to ace your exams in one place.

  • Flashcards & Quizzes
  • AI Study Assistant
  • Smart Note-Taking
  • Mock-Exams
  • Study Planner
Join over 22 million students in learning with our Vaia App
Create your free account now
Join over 22 million students in learning with our Vaia App

Recommended explanations on Math Textbooks

Math

Pure Maths

Read Explanation
Math

Geometry

Read Explanation
Math

Decision Maths

Read Explanation
Math

Mechanics Maths

Read Explanation
Math

Statistics

Read Explanation
Math

Calculus

Read Explanation
View all explanations