Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![**Select all possible solutions to the inequality:**
\(5(3x - 1) < 15\)
- [ ] 13
- [ ] -1
- [ ] 2.3
- [ ] 1.3
- [ ] 12
- [ ] 43
- [ ] -2
- [ ] 4.3
**Explanation**
To solve the inequality \(5(3x - 1) < 15\), follow these steps:
1. Distribute the 5:
\[ 5 \times 3x - 5 \times 1 < 15 \]
\[ 15x - 5 < 15 \]
2. Add 5 to both sides:
\[ 15x < 20 \]
3. Divide by 15:
\[ x < \frac{20}{15} \]
\[ x < \frac{4}{3} \]
\[ x < 1.3333\ldots \]
Thus, the solutions are numbers less than approximately 1.33. Check the list of numbers to see which ones fit this criterion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7dd770e6-6891-4961-812f-0b3b62530e73%2Fac865239-9f02-490b-9513-129cd0b361d1%2F8chjalu_processed.png&w=3840&q=75)
Transcribed Image Text:**Select all possible solutions to the inequality:**
\(5(3x - 1) < 15\)
- [ ] 13
- [ ] -1
- [ ] 2.3
- [ ] 1.3
- [ ] 12
- [ ] 43
- [ ] -2
- [ ] 4.3
**Explanation**
To solve the inequality \(5(3x - 1) < 15\), follow these steps:
1. Distribute the 5:
\[ 5 \times 3x - 5 \times 1 < 15 \]
\[ 15x - 5 < 15 \]
2. Add 5 to both sides:
\[ 15x < 20 \]
3. Divide by 15:
\[ x < \frac{20}{15} \]
\[ x < \frac{4}{3} \]
\[ x < 1.3333\ldots \]
Thus, the solutions are numbers less than approximately 1.33. Check the list of numbers to see which ones fit this criterion.
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