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.

Question

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 inequality sign.

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

Adding 2/7 to both sides of the inequality:

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

Simplifying:

4/7x > 7/7

Dividing both sides of the inequality by 4/7 (the coefficient of x):

(4/7x)/(4/7) > (7/7)/(4/7)

Simplifying:

x > 7/7*7/4
x > 7/4

Since we want the mixed number form, we can divide the numerator 7 by the denominator 4:

7 ÷ 4 = 1 remainder 3

So, x > 1 3/4 is the solution to the inequality.