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 2 symbol in the Comparison (<) keyboard.
(1 point)
To solve the inequality 4/7x - 2/7 > 5/7, we need to isolate the variable x.
First, we add 2/7 to both sides of the inequality to get rid of the negative term on the left side:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
4/7x > 7/7
Simplifying further, we have:
4/7x > 1
To solve for x, we multiply both sides of the inequality by the reciprocal of 4/7, which is 7/4:
(7/4)(4/7x) > (7/4)(1)
x > 7/4
In mixed number form, 7/4 can be written as 1 3/4.
Thus, the solution to the inequality 4/7x - 2/7 > 5/7 is x > 1 3/4.