To solve this inequality, we need to isolate the variable x.
Given: (4/7)x - (2/7) > 5/7
Add (2/7) to both sides of the inequality:
(4/7)x > (5/7) + (2/7)
(4/7)x > (7/7)
Simplify the right side:
(4/7)x > 1
To isolate x, divide both sides by (4/7), being careful to flip the inequality sign since we are dividing by a negative number:
x < (1)/(4/7)
Simplify the right side by multiplying by the reciprocal:
x < 1 * (7/4)
x < 7/4
So, the solution to the inequality is x < 7/4, which can also be written as x < 1 3/4.
Solve
4
7
x−
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.
1 answer
1 answer