Solve 4/7x−2/7>5/7
To solve the inequality:
4/7x - 2/7 > 5/7
First, let's add 2/7 to both sides to isolate the x-term:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
This simplifies to:
4/7x > 7/7
Now, multiply both sides by the reciprocal of 4/7, which is 7/4:
(4/7x)(7/4) > (7/7)(7/4)
This simplifies to:
28/28x > 49/28
Simplifying further:
x > 49/28
Therefore, the solution to the inequality is x > 49/28.
nope
Apologies for the mistake. Let's solve it correctly this time.
To solve the inequality:
4/7x - 2/7 > 5/7
Let's start by adding 2/7 to both sides:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying:
4/7x > 7/7
Now, let's multiply both sides by the reciprocal of 4/7, which is 7/4 (flip and multiply):
(4/7x)(7/4) > (7/7)(7/4)
Simplifying:
28/28x > 49/28
Dividing both sides by 28/28:
(28/28x) / (28/28) > (49/28) / (28/28)
Simplifying:
x > 49/28
Therefore, the solution to the inequality is x > 49/28.