Respuesta :

Korianna
Hi there!

x > 0.073171.
Why?

First to solve we need to add 30x to both sides of the inequality.

-9.5x - 1.5 + 30x > -30x + 30x
20.5x - 1.5 > 0

Next we need to add 1.5 to both sides.

20.5x - 1.5 + 1.5 > 0 + 1.5
20.5x > 1.5

Finally, divide both sides by 20.5.

20.5x/20.5 > 1.5/20.5

x > 0.073171

So our answer is x > 0.073171.

Hope this helps!

Answer:

Solution set for the given inequality is 'x < 3'.

Step-by-step explanation:

We are given the inequality, [tex]-9.5x-1.5>-30[/tex]

After simplifying the inequality, we get,

[tex]-9.5x-1.5>-30[/tex]

i.e. [tex]-9.5x>-30+1.5[/tex]

i.e. [tex]-9.5x>-28.5[/tex]

We know, 'when in an inequality, there is a negative sign on both the sides, the inequality is reversed'.

i.e. [tex]x<\frac{-28.5}{-9.5}[/tex]

i.e. [tex]x<3[/tex]

Thus, the solution set for the given inequality is 'x < 3'.