Respuesta :

carlosego

For this case we have the following expression:

[tex]-1.5x-3 <5.5[/tex]

Adding 3.1 to both sides of the inequality:

[tex]-1.5x <5.5 + 3\\-1.5x <8.5[/tex]

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

[tex]x> \frac {8.5} {- 1.5}\\x> -5.66666[/tex]

Answer:

[tex]x> -5.66666[/tex]

x> -5.6 periodical number

luisejr77

Answer:

{x| x > -5.667}

Step-by-step explanation:

We have the following inequality[tex]-1.5x -3 < 5.5[/tex]

We must solve the incus for the variable x

[tex]-1.5x -3 < 5.5[/tex]

Add 3 on both sides of inequality

[tex]-1.5x -3 +3 < 5.5 +3\\\\-1.5x<5.5 +3\\\\-1.5x<8.5[/tex]

Multiply by -1 both sides of the inequality

[tex](-1)*(-1.5)x<8.5*(-1)\\\\1.5x>-8.5[/tex]

Divide between 1.5 both sides of the inequality

[tex]\frac{1.5}{1.5}x>-\frac{8.5}{1.5}\\\\x > -5.667[/tex]

The answer is:

[tex]x > -5.667[/tex]

{x| x > -5.667}

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