Question

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

its NOT x > 7/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality, we first need to get rid of the fractions. We can do this by finding a common denominator for all the fractions involved, which in this case is 7.

Multiplying both sides of the inequality by 7, we get:

(4/7)x - (2/7) * 7 > (5/7) * 7

Simplifying, we have:

4x - 14 > 5

Next, we can add 14 to both sides of the inequality:

4x > 5 + 14

4x > 19

Finally, divide both sides by 4 to isolate the variable:

x > 19/4

Thus, the correct solution to the inequality is x > 19/4.

Answer 2

WHy can u get this right?

Answer 3

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect solution in my previous response. Let's correctly solve the inequality:

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

First, let's add 2/7 to both sides:

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

4/7x > 7/7

Now, we can simplify the right side:

4/7x > 1

To isolate the variable x, we can multiply both sides by the reciprocal of 4/7, which is 7/4:

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

The 4/7 and 7/4 cancel each other out on the left side:

x > 7/4

Hence, the correct solution to the inequality is x > 7/4.