Question

What is the answer to:
-1.5x -3 < 5.5

Answer 1

x > -5.667

Explanation:

We have the following inequality
`-1.5x -3 < 5.5`

We must solve the incus for the variable x

`-1.5x -3 < 5.5`

Add 3 on both sides of inequality

`-1.5x -3 +3 < 5.5 +3\\\\-1.5x<5.5 +3\\\\-1.5x<8.5`

Multiply by -1 both sides of the inequality

`(-1)*(-1.5)x<8.5*(-1)\\\\1.5x>-8.5`

Divide between 1.5 both sides of the inequality

`(1.5)/(1.5)x>-(8.5)/(1.5)\\\\x > -5.667`

The answer is:

`x > -5.667`

x > -5.667

Answer 2

For this case we have the following expression:

`-1.5x-3 <5.5`

Adding 3.1 to both sides of the inequality:

`-1.5x <5.5 + 3\\-1.5x <8.5`

Dividing between -1.5 on both sides of the inequality, keeping in mind that the sign changes direction:

`x> \frac {8.5} {- 1.5}\\x> -5.66666`

Answer:

`x> -5.66666`

x> -5.6 periodical number