HopeLynette
HopeLynette HopeLynette
  • 03-12-2019
  • Mathematics
contestada

Question 1(Multiple Choice Worth 1 points) (01.04 LC) Solve for x: −3x + 3 < 6 x > −1 x < −1 x < −3 x > −3

Respuesta :

carlosego
carlosego carlosego
  • 10-12-2019

For this case we must resolve the following inequality:

[tex]-3x + 3 <6[/tex]

To do this we follow the steps below:

Subtracting 3 from both sides of the inequality:

[tex]-3x <6-3\\-3x <3[/tex]

Dividing by 3 to both sides of the inequality:

[tex]-x <\frac {3} {3}\\-x <1[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes:

[tex]x> -1[/tex]

Thus, the solution is given by all values of x greater than -1.

Answer:

[tex]x> -1[/tex]

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