Question

I don't get it

-5/6x-3>1

Answer 1

The equation is saying multiply or add negative 5/6 to x, then subtract by positive 3 which makes the number go upwards, but not making it positive, and lastly, the equation is saying the result will be greater than 1.

One of the values for x is 5, because...

`-(5)/(6) * 5 = -4(1)/(6) - 3 = 7(1)/(6) > 1`

With that information, the statement is now complete and true. If you make 5 or anything more than 5 the value for x, the statement will still be true.

Note that I just used 5 as one of the solutions. There are many more than that.

Answer 2

Answer:
`x < -(24)/(5)`

Explanation:

You have:

`-(5)/(6) x-3 > 1`

Add 3 to both sides to get:

`-(5)/(6) x > 4`

Multiply both sides by 6 to get:

`-{5} x > 24`

Divide both sides by -5. When you divide an inequality by a negative number, you must switch the signs. Therefore:

`x < -(24)/(5)`