Question

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

Answer 1

Answer:

{x| x > -5.667}

Step-by-step 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

$-1.5x -3 +3 < 5.5 +3\\\\-1.5x$

Multiply by -1 both sides of the inequality

$(-1)*(-1.5)x-8.5$

Divide between 1.5 both sides of the inequality

$\frac{1.5}{1.5}x>-\frac{8.5}{1.5}\\\\x > -5.667$

The answer is:

$x > -5.667$

{x| x > -5.667}

Answer 2

For this case we have the following expression:

$-1.5x-3$

Adding 3.1 to both sides of the inequality:

$-1.5x$

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