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
To solve the inequality, we need to isolate x on one side of the inequality symbol. Let's start by adding 2/7 to both sides of the inequality:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying:
4/7x > 7/7
Now, let's simplify the right side of the inequality:
4/7x > 1
To get rid of the fraction, we can multiply both sides of the inequality by 7/4:
(7/4)(4/7x) > (7/4)(1)
Simplifying:
x > 7/4
To write the rational number as a mixed number, we can divide 7 by 4:
7 ÷ 4 = 1 remainder 3
Therefore, the mixed number representation for 7/4 is: 1 3/4
So, the final inequality, with x as the first term and the rational number represented as a mixed number, is:
x > 1 3/4