Solve the inequality graphically Use set-builder notation. 12 3y + 18 s 30 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. yl

Algebra and Trigonometry (6th Edition)
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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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To solve this mathematical inequality graphically using set-builder notation, follow the instructions below:

Given Inequality:
\[ 12 \leq 3y + 18 \leq 30 \]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice:

A. \(\{ y \ | \ \boxed{} \leq y \leq \boxed{} \} \)  (Type integers or simplified fractions.)

B. \(\{ y \ | \ \boxed{} < y \leq \boxed{} \} \) (Type integers or simplified fractions.)

C. \(\{ y \ | \ \boxed{} \leq y \leq \boxed{} \} \) (Type integers or simplified fractions.)

D. The inequality has no solution.

To complete this problem:
1. Solve the given compound inequality.
2. Subtract 18 from all parts of the inequality.
3. Simplify the results.
4. Divide by the coefficient of \(y\).

By adhering to these steps, you will determine the correct intervals for \( y \) and fill in the answer boxes accordingly.
Transcribed Image Text:To solve this mathematical inequality graphically using set-builder notation, follow the instructions below: Given Inequality: \[ 12 \leq 3y + 18 \leq 30 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice: A. \(\{ y \ | \ \boxed{} \leq y \leq \boxed{} \} \) (Type integers or simplified fractions.) B. \(\{ y \ | \ \boxed{} < y \leq \boxed{} \} \) (Type integers or simplified fractions.) C. \(\{ y \ | \ \boxed{} \leq y \leq \boxed{} \} \) (Type integers or simplified fractions.) D. The inequality has no solution. To complete this problem: 1. Solve the given compound inequality. 2. Subtract 18 from all parts of the inequality. 3. Simplify the results. 4. Divide by the coefficient of \(y\). By adhering to these steps, you will determine the correct intervals for \( y \) and fill in the answer boxes accordingly.
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