Question
The solution set of the inequality 3(6 - 4) + 2b > 3 is the set of values of b greater than three. Which set notation correctly expresses the solutions? (1 point)
• 16:6 < 3}
• 16: 6> 3}
• {6: 6 < 15}
• {b: b> 15}
• 16:6 < 3}
• 16: 6> 3}
• {6: 6 < 15}
• {b: b> 15}
Answers
GPT-4o mini
To find the correct set notation that expresses the solutions of the inequality, let's first break down what the solution set is.
The statement says that the solution set of the inequality is the set of values of \( b \) greater than 3. This can be mathematically expressed in set notation as:
\[
\{ b : b > 3 \}
\]
However, looking at your options, it seems like none of them directly express \( b > 3 \). But based on the given options, the best interpretation can be derived from the closest available choice. It looks like there might be an error in the options regarding the numerical values presented, but if we focus solely on the inequality:
- The expression `{b: b > 15}` implies values of \( b \) greater than 15, which does not align with \( b > 3 \).
- The other options do not make sense as they involve incorrect inequality symbols or numbers.
The valid interpretation based on the original statement is:
- **Correct representation of solution**: \{ b : b > 3 \}
Unfortunately, none of the provided options reflect this correctly. If possible, check the options again or clarify if there's a typo in them.
The statement says that the solution set of the inequality is the set of values of \( b \) greater than 3. This can be mathematically expressed in set notation as:
\[
\{ b : b > 3 \}
\]
However, looking at your options, it seems like none of them directly express \( b > 3 \). But based on the given options, the best interpretation can be derived from the closest available choice. It looks like there might be an error in the options regarding the numerical values presented, but if we focus solely on the inequality:
- The expression `{b: b > 15}` implies values of \( b \) greater than 15, which does not align with \( b > 3 \).
- The other options do not make sense as they involve incorrect inequality symbols or numbers.
The valid interpretation based on the original statement is:
- **Correct representation of solution**: \{ b : b > 3 \}
Unfortunately, none of the provided options reflect this correctly. If possible, check the options again or clarify if there's a typo in them.