## EmmaH 2 years ago is the equivelent compound sentence of |x - 5| < 4 this x - 5 > 4 or x - 5 < -4?

1. EmmaH

my choices are A. x - 5 > 4 or x - 5 < -4 B. -4 < x - 5 < 4 C. -8 < 2x + 3 < 8 D. x - 5 = 4 or x - 5 = -4 E. 2x + 3 > 8 or 2x + 3 < -8

2. tcarroll010

It's A because |x - 5| < 4 means x - 5 < 4 AND x - 5 > -4, so the expression with the x will be "in the middle" for 2 inequalities.

3. EmmaH

ok so im right?

4. EmmaH

so for this one it would be c? |x - 5| > 4

5. tcarroll010

Sorry, I read the numbers wrong, The answer is "B". Just change my answer to B" and keep my reasoning.

6. EmmaH

wait so|x - 5| > 4 be a? im confuzzled

7. tcarroll010

It's an "AND" situation. The way to think about absolute value expressions being less than some (positive) number is that the positive number gives the maximum distance form "0" in either direction (negative or positive). No confusion. I corrected my answer to "B" "B" "B" NOT A

8. EmmaH

i dont hink they can both be b im talking about another equation |x - 5| > 4 would that be A?

9. tcarroll010

|x - 5| > 4 is A That is an "OR" situation.

10. EmmaH

|2x + 3| < 8 and that is C then right?

11. tcarroll010

Yes, I think you're getting this!

12. EmmaH

yay thank you!

13. tcarroll010

uw!