81.5k views
3 votes
Can you help me solve this step by step, please?
|3-6x|-3<2

User Davagaz
by
7.7k points

1 Answer

4 votes
In this problem, you want to solve for x. To start, add 3 to both sides to isolate the absolute value: l3 -6xl < 2     The absolute value brackets now disappear and you can subtract 3 from both sides:    -6x < -1     This next step is the one that is harder to remember; in a normal equation you would simply divide both sides by -6 to solve for x, but since it is an inequality, you have to flip the sign whenever you divide by a negative. So when you divide both sides by -6, you now have:   x > 1/6                Hope this helps  :)
User Akihito KIRISAKI
by
7.8k points