which compound sentence is equivalent to |x-5|

Question

which compound sentence is equivalent to |x-5|<4?

Help Me please!!

anonymous · Answer

Help please!

anonymous · Answer

x-5<4, so
x<9, however, the absolute value sign means that only the distance away from zero is accounted for, not whether it's negative or positive. Therefore, whenever x is negative, the absolute value of x-5 will never be less than zero

anonymous · Answer

so, x must be less than 9 but greater than 0 for it to fit the inequality. Therefore, the compound sentence is: x must be less than 9 and greater than 0

anonymous · Answer

so the answer would be 	-4 < x - 5 < 4

anonymous · Answer

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 you see these are the answer choices /.\

anonymous · Answer

yes, it's b!

anonymous · Answer

oh okay then thank you:)