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)

Answer 1

4/7x - 2/7 > 5/7

To solve this inequality, we need to isolate x.

Step 1: Add the like terms on the left side of the inequality:
4/7x - 2/7 + 2/7 > 5/7 + 2/7

Simplifying the left side:
4/7x > 7/7

Step 2: Combine the right side:
4/7x > 1

Step 3: Divide both sides by 4/7:
(4/7x) / (4/7) > 1 / (4/7)

Simplifying:
x > 1 * (7/4)

x > 7/4

Therefore, the solution to the inequality is x > 7/4. In mixed number form, it would be x > 1 3/4.