Solve 14x−34>514.(1 point)
Responses
x>18
x greater than 18
x>112
x greater than 1 Start Fraction 1 over 2 end fraction
x>24
x greater than 24
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
To solve the inequality 14x - 34 > 514, we need to isolate the variable x on one side of the inequality sign.
First, we can start by adding 34 to both sides of the inequality to eliminate the constant term:
14x - 34 + 34 > 514 + 34
This simplifies to:
14x > 548
Next, we can divide both sides by 14 to solve for x:
14x/14 > 548/14
Simplifying further:
x > 39.142857...
So, the solution to the inequality 14x - 34 > 514 is x > 39.142857...
However, since the answer choices provided are integers, we can round up to the nearest whole number to get:
x > 40.
Therefore, the correct answer is x > 40.