Solve each inequality. Graph solution. 1. -4(3x+2) = 16 2. 3

Question

Solve each inequality. Graph solution. 
1. -4(3x+2) >= 16
2. 3<5x - 2<7

psymon · Answer

Having trouble with both parts or anything in specific?

awkwardpanda · Answer

I'm having trouble solving as well as graphing /:

psymon · Answer

Gotcha. Okay, so #1. The first part

-4(3x+2)

Do you know how to multiply that out or what to do with it?

awkwardpanda · Answer

So i multiply -4 to 3x and 2, right?

psymon · Answer

Right. Think you can do that part?

awkwardpanda · Answer

Sure, I'll try.

so it would be -12x and -8. right?

psymon · Answer

Right :3 
$$-12x - 8 \ge 16$$
So now we need x by itself. So you would add 8 to both sides. That gets rid of the 8 on the left and moves it to the right. Think you got that?

awkwardpanda · Answer

SO it would be -12x - 8 + 8 $$-12x-8+8\ge16+8$$

psymon · Answer

Right. So that means we have 
$$-12x \ge 24$$ So now we have two options. We can divide both sides by -12, but we must remember thatif we divideor multiply by a negative, we must flip the inequality. If we're scared about forgettingto flip it on accident, we have this option:

psymon · Answer

|dw:1380343073023:dw|

works either way. This way is more steps, but you avoid negatives.