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

To solve the inequality, we need to isolate x on one side of the equation. Let's start by adding 2/7 to both sides:

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

Simplifying, we get:

4/7x > 7/7

Now, we can simplify 7/7 to 1:

4/7x > 1

To solve for x, we need to divide both sides of the equation by 4/7:

x > 1 / (4/7)

When we divide by a fraction, we can multiply the numerator (1) by the reciprocal of the denominator (4/7):

x > 1 * (7/4)

Simplifying, we get:

x > 7/4

Since the question asks for the answer in mixed number format, 7/4 can be written as 1 3/4. Therefore, the solution is:

x > 1 3/4