Question

Solve the compound inequality. $2w - 3 \leq 3$ or $4w + 1 \geq -7$ Write the solution in interval notation. If there is no solution, enter $\emptyset$. 

          Solve the compound inequality.
$2w - 3 \leq 3$ or $4w + 1 \geq -7$
Write the solution in interval notation.
If there is no solution, enter $\emptyset$.
Solve the compound inequality. 2w - 3 ≤ 3 or 4w + 1 ≥ -7 Write the solution in interval notation. If there is no solution, enter ∅.

Added by Melanie T.

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
Solve the compound inequality. 2w-3<=3 or ,4w+1>=-7 Write the solution in interval notation. If there is no solution, enter (O)/(). Solve the compound inequality 2w-3<3.or 4w+1>-7 Write the solution in interval notation. If there is no solution, enter 00 8 -8 (0,0) [0,0] ,] [0,0) X
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov Kathleen Carty
Jennifer Stoner verified

Heather Zimmers and 101 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-each-compound-inequality-write-solutions-in-interval-notation-see-examples-i-through-8-frac38-

Solve each compound inequality. Write solutions in interval notation. See Examples I through 8 . $$ \frac{3}{8} x+1 \leq 0 \text { or }-2 x<-4 $$

Beginning and Intermediate Algebra

Inequalities and Absolute Value

Compound Inequalities

solve-each-compound-inequality-write-solutions-in-interval-notation-see-examples-i-through-8-0-leq-2

Solve each compound inequality. Write solutions in interval notation. See Examples I through 8 . $$ 0 \leq 2 x-3 \leq 9 $$

Beginning and Intermediate Algebra

Inequalities and Absolute Value

Compound Inequalities

solve-each-compound-inequality-write-solutions-in-interval-notation-see-examples-7-and-8-x90-text-or

Solve each compound inequality. Write solutions in interval notation. See Examples 7 and $8 .$ $$ x+9<0 \text { or } 4 x>-12 $$

Beginning and Intermediate Algebra

Inequalities and Absolute Value

Compound Inequalities

*

Recommended Textbooks

-
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition
achievement 1,994 solutions
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J. Ellenbogen,Barbara L. Johnson 4th Edition
achievement 1,816 solutions
Algebra and Trigonometry

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem Watson 4th Edition
achievement 1,365 solutions
*

Transcript

-
00:03 Okay, so we have a compound inequality, that's an or statement.
00:07 That's also called a union.
00:09 And what we're going to do is solve each inequality and then find the union of two solution sets.
00:15 So for the first one, we'll start by subtracting one from both sides, and we have 3 .8x x is less than or equal to negative 1.
00:22 And then we'll multiply both sides by 8 thirds, so we get x is less than or equal to negative 8 thirds.
00:29 And for the second one, we'll divide both sides by negative 2.
00:33 Remember, when you divide by a negative, you need to flip your inequality sign around.
00:38 We get x is greater than 2.
00:40 So x is less than are equal to negative 8 thirds or x is greater than 2...
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