## horsewhisperer 2 years ago How do I solve and graph this inequality? 12x + 4 ≥ 16 or 3x – 5 ≤ –14

1. frx

Solve it like an equation but remember that the inequality changes if you divide or multiply by a negative number.

2. horsewhisperer

I am new to this, could you help me do this problem? If I solve it like an equation... where do I start?

3. frx

Ok, so the first inequality is $12x \ge 16-4$ $12x \ge$ $x \ge \frac{ 12 }{ 12 }$ $x \ge 1$

4. frx

$12x \ge 12$

5. horsewhisperer

Okay, got it... so then is the second one x $x \le 6$ ?

6. frx

$3x \le -14+5$ $3x \le -9$ $x \le \frac{ -9 }{ 3 }$ $x \le -3$

7. horsewhisperer

Oh, okay, I think I see what I did wrong here... so then to graph this...?

8. frx

Just ask questions if you have any. Graphing it is actually really simple, do you know what a numberline is?

9. frx

|dw:1355781437726:dw|

10. horsewhisperer

Yes, I know what a number line is. I think I know how to do it now. Thanks for your help!

11. frx

Ok, great, no problem.