Solve 4/7x-2/7>5/7. Write the national number in your answer as a mixed number. Make sure to write your inequality so that x comes first.
To solve the inequality 4/7x - 2/7 > 5/7, we first need to isolate x.
Adding 2/7 to both sides of the inequality, we have:
4/7x - 2/7 + 2/7 > 5/7 + 2/7
Simplifying the right side:
4/7x > 7/7
4/7x > 1
To isolate x, we divide both sides of the inequality by 4/7:
(4/7x) / (4/7) > (1) / (4/7)
Simplifying the division and the right side:
x > 1/(4/7)
x > 1 * (7/4)
x > 7/4
The solution to the inequality is x > 7/4. However, we need to write the answer in mixed number form as requested.
Using division, we find that 7 divided by 4 equals 1 with a remainder of 3. This can be written as 1 3/4.
Therefore, the solution to the inequality 4/7x - 2/7 > 5/7 in mixed number form is x > 1 3/4.