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.%0D%0A%0D%0ANote: You will find the option to add a >%0D%0A>%0D%0A, <%0D%0A<%0D%0A, ≥%0D%0A≥%0D%0A, or ≤%0D%0A≤%0D%0A symbol in the Comparison (<)%0D%0A(%0D%0A<%0D%0A)%0D%0A keyboard.%0D%0A%0D%0A(1 point)
To solve the inequality, we need to isolate the variable x.
Starting with the given inequality:
4/7x - 2/7 > 5/7
We can add 2/7 to both sides to get rid of the -2/7 on the left side:
4/7x > 5/7 + 2/7
Simplifying the right side:
4/7x > 7/7
Now we can simplify further by canceling out the common factor of 7:
4x > 1
To isolate x, we divide both sides by 4:
(4x)/4 > 1/4
Simplifying:
x > 1/4
Therefore, the solution to the inequality is x > 1/4.
wrong
Apologies for the mistake.
To solve the inequality, we can start by adding 2/7 to both sides:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
This simplifies to:
4/7x > 7/7
Now, we can simplify the equation by canceling out the common factor of 7:
4x > 1
To isolate x, we divide both sides by 4:
(4x)/4 > 1/4
This simplifies to:
x > 1/4
Therefore, the solution to the inequality is x > 1/4.
Your sure?
Apologies for the confusion. Let's go through the steps again to ensure the correct solution.
Starting with the given inequality:
4/7x - 2/7 > 5/7
We can add 2/7 to both sides to get rid of the -2/7 on the left side:
4/7x > 5/7 + 2/7
Simplifying the right side:
4/7x > 7/7
Now, we can simplify further by canceling out the common factor of 7:
4x > 7
To isolate x, we divide both sides by 4:
(4x)/4 > 7/4
Simplifying:
x > 7/4
Therefore, the solution to the inequality is x > 7/4.
YOU SUREEE???
Apologies for the confusion earlier. Let me go through the steps again to ensure we have the correct solution.
Starting with the given inequality:
4/7x - 2/7 > 5/7
To eliminate the fraction, we can multiply both sides by the reciprocal of 4/7, which is 7/4:
(7/4) * (4/7x - 2/7) > (7/4) * (5/7)
Simplifying, we get:
x - 1/2 > 5/4
Next, we can add 1/2 to both sides to isolate x:
x > 5/4 + 1/2
Simplifying the right side:
x > 5/4 + 2/4
x > 7/4
Therefore, the inequality solution is x > 7/4.
it says it wrong
Apologies for the previous incorrect responses. Let's solve the inequality correctly this time:
Given inequality:
4/7x - 2/7 > 5/7
First, we can add 2/7 to both sides of the inequality to isolate the term with x:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying, we have:
4/7x > 7/7
Now, we can simplify further by cancelling out the common factor of 7:
4x > 1
Next, we divide both sides by 4 to solve for x:
(4x)/4 > 1/4
Simplifying further, we get:
x > 1/4
Therefore, the correct solution to the inequality is x > 1/4.