Solve 3(x - 2) < 18. x x > 8 x x > -8

Question

Solve 3(x - 2) < 18.

x < 8
x
x < -8
x

Answer 1

For this case we must resolve the following inequality:

`3 (x-2) <18`

We apply distributive property on the left side of inequality:

`3x-3 * 2 <18\\3x-6 <18`

We add 6 to both sides of the inequality:

`3x <18 + 6\\3x <24`

We divide between 3 on both sides of the inequality:

`x <\frac {24} {3}\\x <8`

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

ANswer:

Option A