Solve the inequality and graph the solution set on a number line. -1<3x-158 The solution in interval notation is Choose the correct graph below. OA. O C. OE. ← -10 4 -10 -10 -6 -6 -6 0 6 6 6 8 8 9 10 + 10 + 10 OB. OD. OF -10 -10 -10 -8 -8 -8 0 0 2 3 8 8 H + 10 L 10 10

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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Solve the inequality and graph the solution set on a number line.

\[
-1 < 3x - 1 \leq 8
\]

The solution in interval notation is \([0, 3)\).

Choose the correct graph below.

**Graph Options:**

- **Option A**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 9 with closed circles at both ends.
  
- **Option B**: The number line ranges from -10 to 10. A blue segment starts at 0 and ends at 3 with closed circles at both ends.
  
- **Option C**: The number line ranges from -10 to 10. A blue segment starts at 0 (closed circle) and ends at 3 (open circle).
  
- **Option D**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 3 with open circles at both ends.

- **Option E**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 9 with open circles at both ends.
  
- **Option F**: The number line ranges from -10 to 10. A blue segment starts at -1 (open circle) and ends at 3 (closed circle).

**The correct graph is Option C,** which matches the interval notation \([0, 3)\) with a closed circle at 0 and an open circle at 3.
Transcribed Image Text:Solve the inequality and graph the solution set on a number line. \[ -1 < 3x - 1 \leq 8 \] The solution in interval notation is \([0, 3)\). Choose the correct graph below. **Graph Options:** - **Option A**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 9 with closed circles at both ends. - **Option B**: The number line ranges from -10 to 10. A blue segment starts at 0 and ends at 3 with closed circles at both ends. - **Option C**: The number line ranges from -10 to 10. A blue segment starts at 0 (closed circle) and ends at 3 (open circle). - **Option D**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 3 with open circles at both ends. - **Option E**: The number line ranges from -10 to 10. A blue line starts at 0 and ends at 9 with open circles at both ends. - **Option F**: The number line ranges from -10 to 10. A blue segment starts at -1 (open circle) and ends at 3 (closed circle). **The correct graph is Option C,** which matches the interval notation \([0, 3)\) with a closed circle at 0 and an open circle at 3.
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