Solve 14x−34>514 .(1 point)
Responses
x>2134
x greater than 21 Start Fraction 3 over 4 end fraction
x>24
x greater than 24
x>112
x greater than 1 Start Fraction 1 over 2 end fraction
x>18
To solve the inequality 14x − 34 > 514, let's first add 34 to both sides of the inequality:
14x − 34 + 34 > 514 + 34
14x > 548
Now, to isolate x, divide both sides by 14:
14x / 14 > 548 / 14
x > 39.142857...
Since we want our answer to be in a fraction and to not approximate, we should write 548/14 as a mixed number:
548 / 14 = 39 6/14
And you can simplify 6/14 by dividing both numerator and denominator by 2:
6/14 = 3/7
So:
x > 39 3/7
Since none of the provided responses match this result exactly, I would label them all incorrect based on the calculation performed. If we must choose the closest option, based on the numerical value, "x greater than 24" appears to be the closest option, but it is not precise. However, there may be a typographical error in the original inequality, as the options provided suggest that the right side would likely have a lower number for the solutions to make sense. If provided options are final though, based on the calculations we've done, none match the exact answer.