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Select all possible solutions to the inequality: 5(3x − 1) < 15 13 -1 2.3 1.3 12 43 -2 4.3

Select all possible solutions to the inequality: 5(3x − 1) < 15 13 -1 2.3 1.3 12 43 -2 4.3

Algebra and Trigonometry (6th Edition)
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,...
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**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.
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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