Question

is the equivelent compound sentence of |x - 5| < 4 this x - 5 > 4 or x - 5 < -4?

Answer 1

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

Answer 2

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.

Answer 3

ok so im right?

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

Yes, I think you're getting this!

Answer 12

yay thank you!

Answer 13

uw!