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 firs
To solve the inequality 4/7x - 2/7 > 5/7, we will need to isolate x.
First, we need to add 2/7 to both sides of the inequality:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
This simplifies to:
4/7x > 7/7
Next, we need to multiply both sides of the inequality by the reciprocal of the coefficient of x, which is 7/4 (or 7/4 as a mixed number):
(7/4)(4/7x) > (7/4)(7/7)
This simplifies to:
x > 49/28
Since the inequality is asking for x to be written as a mixed number, we can simplify 49/28:
49 ÷ 28 = 1 remainder 21
Therefore, x can be written as the mixed number 1 21/28.