Solve 47x−27>57. Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first.%0D%0A%0D%0ANote: You will find the option to add a >%0D%0A>%0D%0A, <%0D%0A<%0D%0A, ≥%0D%0A≥%0D%0A, or ≤%0D%0A≤%0D%0A symbol in the Comparison (<)%0D%0A(%0D%0A<%0D%0A)%0D%0A keyboard.%0D%0A%0D%0A(1 point)
To solve the inequality 47x - 27 > 57, we can first add 27 to both sides of the inequality to isolate the term with x:
47x - 27 + 27 > 57 + 27
47x > 84
Next, we can divide both sides of the inequality by 47 to solve for x:
(47x) / 47 > 84 / 47
x > 84 / 47
The rational number 84/47 can be written as a mixed number by dividing the numerator (84) by the denominator (47):
84 ÷ 47 = 1 with a remainder of 37
Therefore, the mixed number representation of 84/47 is 1 37/47.
So, the inequality can be written as:
x > 1 37/47