Respuesta :

Answer: [tex]x < -\frac{24}{5}[/tex]

Step-by-step explanation:

You have:

[tex]-\frac{5}{6} x-3 > 1[/tex]

Add 3 to both sides to get:

[tex]-\frac{5}{6} x > 4[/tex]

Multiply both sides by 6 to get:

[tex]-{5} x > 24[/tex]

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

[tex]x < -\frac{24}{5}[/tex]

Answer:

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...

[tex]-\frac{5}{6} * 5 = -4\frac{1}{6} - 3 = 7\frac{1}{6} > 1[/tex]

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.