Solve 4/7x−2/7>5/7 . Write the rational number in your answer as a mixed number. Make sure to write your inequality so that x comes first. Note: You will find the option to add a > , < , ≥ , or ≤ symbol in the Comparison (<) keyboard. (1 point)
The inequality is given by:
(4/7)x - (2/7) > 5/7
Let's add (2/7) to both sides of the inequality to isolate the term with "x":
(4/7)x - (2/7) + (2/7) > 5/7 + 2/7
Simplifying:
(4/7)x > 7/7
(4/7)x > 1
Now, let's multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4:
(7/4)(4/7)x > (7/4)(1)
Simplifying:
x > 7/4
To write this rational number as a mixed number, we divide 7 by 4:
7 divided by 4 equals 1 remainder 3
Therefore, x > 1 3/4.