## anonymous one year ago Is this right or wrong? 11. Solve the inequality. Show your work. |r + 3| ≥ 7 | r + 3|≥ 7 -3 -3 | r | ≥ 4 If I plug the the 4 into r's place |4+3| ≥7

1. Loser66

for absolute value problem, you need do: $$| r+3|\geq 7$$ $$-7\geq r+3\geq 7$$ $$\bullet$$ first and middle : $$-7 \geq r+3$$ -3 both sides $$-11\geq r$$, that means $$r\leq -11$$ (namely *) $$\bullet$$ middle and last: $$r+3\geq 7$$ -3 both sides, $$r\geq 4$$ (namely **) Combine * and **, you have either $$r\leq -11$$ or $$r\geq 4$$ is the solution for the expression.

2. Loser66

|dw:1435930768684:dw|

3. Loser66

|dw:1435930801109:dw|

4. Loser66

|dw:1435930869866:dw|

5. Loser66

Hence, your answer should be both with OR between them. I meant $$r\leq -11$$ OR $$r\geq 4$$

6. anonymous

So i have to move my 7 over to the left?

7. anonymous

Okay.

8. Loser66

Actually, you NOT move 7, just put -7 to the left.

9. anonymous

Do the original 7 stay on or do i subtract it?

10. Loser66

stay!! just put an extra value by opposite of 7 to the left.

11. Loser66

In general, if |a| < 7, to solve it, you put one more value on the left by opposite value of number , like -7<a<7

12. anonymous

Okay. Do i include it when i'm subtarcting 3?

13. Loser66

if |a|> 7, again, put one more value on the left -7 >a >7 On that way, you take off the absolute sign and solve part by part like above.

14. Loser66

After taking off the absolute value sign, you solve as usual, no absolute value any more.

15. anonymous

Alright. So i won't need the bars anymore?

16. Loser66

yup