## anonymous one year ago |3x-2|+4 < (less than or equal to) 7 1/2|x+2|>6 can you please answer these with a guide/steps through it? i'm doing a study guide and need a little help

1. LynFran

wat do u have to do here?

2. LynFran

and r those separate equality

3. LynFran

?

4. anonymous

solve the inequality, and then i can graph the solution on my own

5. anonymous

yes

6. LynFran

ok

7. LynFran

$|3x-2|+4\le7$$|3x-2|+4-4\le 7-4$$|3x-2|\le7-4$$|3x-2|\le3$$(3X-2)\le \pm 3$

8. LynFran

$3x-2 \le 3$$3x-2+2 \le 3+2$$3x \le 5$$x \le 5/3$

9. LynFran

and $3x-2 \le -3$$3x-2+2 \le -3+2$$3x \le -1$$x \le -1/3$

10. anonymous

thank you so much!! this helps a lot

11. LynFran

ok for the 2nd inequality you can start by dividing both sides by 1/2...since 1/2 is being multiply to the absolute sign...

12. LynFran

u will have |x+2|>12 and the steps are like the first inequality

13. anonymous

ahh okay, i see. thank you

14. LynFran

welcome