Question

The solution set of the inequality $|2x - 1| < 1$ Type your answer as an interval(s) using brackets (,), [, ] and $\cup$, $\cap$ as appropriate. Copy and paste in the answer box the infinity symbol $\infty$ if you need it. Do not put any spaces between symbols, e.g., type ($-\infty$, -7] $\cap$ [1, $\infty$), (-3, 9) or (-1, 2].

          The solution set of the inequality
$|2x - 1| < 1$
Type your answer as an interval(s) using brackets (,), [, ] and $\cup$, $\cap$ as appropriate. Copy and paste in the answer box the infinity symbol $\infty$ if you need it. Do not put any spaces between symbols, e.g., type ($-\infty$, -7] $\cap$ [1, $\infty$), (-3, 9) or (-1, 2].
        
Show more…
The solution set of the inequality
|2x - 1| < 1
Type your answer as an interval(s) using brackets (,), [, ] and ∪, ∩ as appropriate. Copy and paste in the answer box the infinity symbol ∞ if you need it. Do not put any spaces between symbols, e.g., type (-∞, -7] ∩ [1, ∞), (-3, 9) or (-1, 2].

Added by Pedro D.

Close

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
The solution set of the inequality |2z-1|<1 is Type your answer as an interval(s) using brackets (, ) . [ . ] and U, as appropriate. Copy and paste in the answer box the infinity symbol o if you need it. Do not put any spaces between symbols, e.g., type (-o,-7] [1,o), (-3, 9) or (-1,2].
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Jennifer Stoner
David Collins verified

Erika Bustos and 81 other subject Algebra educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
solve-the-inequality-write-the-solution-set-in-interval-notation-7-frac13-z3

Solve the inequality. Write the solution set in interval notation. $$-7<-\frac{1}{3} z+3$$

College Algebra Essentials

Equations and Inequalities

Linear Inequalities and Compound Inequalities

solve-each-absolute-value-inequality-write-solutions-in-interval-notation-4-3-z127

Solve each absolute value inequality. Write solutions in interval notation. $$|4-3 z|+12<7$$

Precalculus

Equations and Inequalities

Absolute Value Equations and Inequalities

solution-set-to-the-inequality-in-interval-notation-z-9

Solution set to the inequality in interval notation Z>-9

Sanchit J.


*

Recommended Textbooks

-
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition
achievement 1,434 solutions
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J. Ellenbogen,Barbara L. Johnson 4th Edition
achievement 1,577 solutions
Algebra and Trigonometry

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem Watson 4th Edition
achievement 1,802 solutions

*

Transcript

-
00:01 We need to solve the following inequalities.
00:02 We're going to multiply everything by three to get rid of our fractions.
00:05 We get negative 21 less than negative z plus 9.
00:11 We're going to subtract 9 from both sides.
00:14 We get negative 30 less than negative z.
00:18 We're going to divide both sides by negative 1.
00:20 And because we're dividing by a negative, we have to flip the inequality...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever