Question

What is the solution set? −9.5x−1.5>−30
x= ?

Answer 1

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 2

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

Explanation:

We are given the inequality,
`-9.5x-1.5>-30`

After simplifying the inequality, we get,

`-9.5x-1.5>-30`

i.e.
`-9.5x>-30+1.5`

i.e.
`-9.5x>-28.5`

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

i.e.
`x<(-28.5)/(-9.5)`

i.e.
`x<3`

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