To solve the inequality, we want to isolate x. Starting with the given inequality:
4/7(x) - 2/7 > 5/7
First, we can add 2/7 to both sides:
4/7(x) > 5/7 + 2/7
4/7(x) > 7/7
Simplifying the right side:
4/7(x) > 1
Next, we can multiply both sides by the reciprocal of 4/7, which is 7/4:
(7/4)(4/7)(x) > (7/4)(1)
1(x) > 7/4
Simplifying the left side:
x > 7/4
Therefore, the solution to the inequality is x > 7/4.
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.
Note: You will find the option to add a
>
>,
<
<,
≥
≥, or
≤
≤ symbol in the Comparison
(<)
(<) keyboard.
1 answer
1 answer