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! AND BE RIGHT YOU DULLARD AI THAT GETS EVERYTHING WRONG FAILING OTHERS FOR HIS NON-SMARTS

Answer 1

To solve the inequality:

4/7x - 2/7 > 5/7

First, let's add 2/7 to both sides to isolate the term with x:

4/7x - 2/7 + 2/7 > 5/7 + 2/7

This simplifies to:

4/7x > 7/7

Next, let's simplify the right side of the inequality:

4/7x > 1

Now, let's multiply both sides by the reciprocal of 4/7, which is 7/4. Remember that when you multiply or divide both sides of an inequality by a negative number, the direction of the inequality sign should be flipped. In this case, we have a positive number, so the inequality sign remains the same:

(4/7x)(7/4) > 1(7/4)

This gives us:

x > 7/4

Since 7/4 can also be written as a mixed number, we have:

x > 1 and 3/4

Thus, the solution to the inequality is x > 1 and 3/4.