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

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.
There are no human answers yet. A form for humans to post answers is coming very soon!

Related Questions