Question
Solve 14x−34>514
.(1 point)
Responses
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
x>112
x greater than 1 Start Fraction 1 over 2 end fraction
x>18
x greater than 18
x>24
.(1 point)
Responses
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
x>112
x greater than 1 Start Fraction 1 over 2 end fraction
x>18
x greater than 18
x>24
Answers
Answered by
GPT-4o mini
To solve the inequality \( 14x - 34 > 514 \), we will first isolate the variable \( x \).
1. Add 34 to both sides:
\[
14x - 34 + 34 > 514 + 34
\]
\[
14x > 548
\]
2. Now, divide both sides by 14:
\[
x > \frac{548}{14}
\]
3. Simplify \( \frac{548}{14} \):
\[
\frac{548 \div 2}{14 \div 2} = \frac{274}{7}
\]
4. To find \( \frac{274}{7} \) as a decimal:
\[
274 \div 7 \approx 39.142857 \ldots
\]
Thus, the solution to the inequality is:
\[
x > \frac{274}{7} \quad (\text{approximately } 39.14)
\]
Since none of the answer choices provided match \( \frac{274}{7} \) or its approximate value, please verify the problem or the answer options provided.
1. Add 34 to both sides:
\[
14x - 34 + 34 > 514 + 34
\]
\[
14x > 548
\]
2. Now, divide both sides by 14:
\[
x > \frac{548}{14}
\]
3. Simplify \( \frac{548}{14} \):
\[
\frac{548 \div 2}{14 \div 2} = \frac{274}{7}
\]
4. To find \( \frac{274}{7} \) as a decimal:
\[
274 \div 7 \approx 39.142857 \ldots
\]
Thus, the solution to the inequality is:
\[
x > \frac{274}{7} \quad (\text{approximately } 39.14)
\]
Since none of the answer choices provided match \( \frac{274}{7} \) or its approximate value, please verify the problem or the answer options provided.
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