Chapter 2: Q. 2.149 (page 285)

Solve the inequality $4 b - 3 (3 - b) > 5 (b - 6) + 2 b$ , graph the solution on the number line and write the solution in interval notation.

Short Answer

Expert verified

The required interval notation is $(- \infty, - \frac{21}{5}) .$ .

Step by step solution

Step 1. Given Information

Given Inequality: $4 b - 3 (3 - b) > 5 (b - 6) + 2 b$

Step 2. Calculation

We have, $4 b - 3 (3 - b) > 5 (b - 6) + 2 b$

localid="1655804114947" $4 b - 3 (3 - b) > 5 (b - 6) + 2 b 4 b - 9 + 3 b > 5 b - 30 + 2 b 7 b - 2 b < - 30 + 9 5 b < - 21 b < - \frac{21}{5}$

The interval notation is localid="1655804118151" $(- \infty, - \frac{21}{5}) .$

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve the inequality $4 b - 3 (3 - b) > 5 (b - 6) + 2 b$ , graph the solution on the number line and write the solution in interval notation.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Probability and Statistics

Calculus

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the inequality 4b-3(3-b)>5(b-6)+2b, graph the solution on the number line and write the solution in interval notation.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Discrete Mathematics

Probability and Statistics

Calculus

Pure Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Solve the inequality $4 b - 3 (3 - b) > 5 (b - 6) + 2 b$ , graph the solution on the number line and write the solution in interval notation.