jayleebowlg67 jayleebowlg67
  • 14-11-2019
  • Mathematics
contestada

Solve 3(x - 2) < 18.

{x | x < 8}
{x | x > 8}
{x | x < -8}
{x | x > -8}

Respuesta :

carlosego
carlosego carlosego
  • 17-11-2019

For this case we must resolve the following inequality:

[tex]3 (x-2) <18[/tex]

We apply distributive property on the left side of inequality:

[tex]3x-3 * 2 <18\\3x-6 <18[/tex]

We add 6 to both sides of the inequality:

[tex]3x <18 + 6\\3x <24[/tex]

We divide between 3 on both sides of the inequality:

[tex]x <\frac {24} {3}\\x <8[/tex]

Thus, the solution is given by all the values of "x" less than 8.

ANswer:

Option A

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