Question

Solve 3(x-2) < 18.


Please help.

Answer 1

Hello!

The answer is:

The correct option is the first option,

${x|x<8}$

Why?

To solve the problem, we need to remember that the way to solve inequalities is almost the same that solving normal equations.

So, we are given the inequality, we have:

$3(x-2)<18$

Now, solving we have:

$3(x-2)<18\\\\(x-2)<\frac{18}{3} \\\\x-2<6\\\\x<6+2\\\\x<8$

Hence, we have that solution to the inequality is:

$x<8$

So, the correct option is the first option,

${x|x<8}$

Have a nice day!

Answer 2

Answer:

$\large\boxed{\{x\ |\ x<8\}}$

Step-by-step explanation:

$3(x-2)<18\qquad\text{use the distributive porperty}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(-2)<18\\\\3x-6<18\qquad\text{add 6 to both sides}\\\\3x-6+6<18+6\\\\3x<24\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}<\dfrac{24}{3}\\\\x<8}$