What is the solution of the absolute value of x minus 4 is less than or equal to negative 5 ?
A. x ≤ -1 and x ≥ 9
B. x ≤ -1 or x ≥ 9
C. no solution
D. all real numbers

Question

What is the solution of the absolute value of x minus 4 is less than or equal to negative 5 ?
	A.	x ≤ -1 and x ≥ 9
	B.	x ≤ -1 or x ≥ 9
	C.	no solution
	D.	all real numbers

zpupster · Answer

$$\left| x-4 \right| \le -5$$

anonymous · Answer

x is less than or eaqual to -1

anonymous · Answer

i get that part its the other part do i switch the sign and turn -5 positive?

zpupster · Answer

yes solve these 2 cases and that is you answer

anonymous · Answer

if i t were a positive 5 and i switched it then would i switch the sign?

zpupster · Answer

remember x-4 could be positive or negative to accomplish this we do it in cases:

case1 x-4 >or= 5
case 2 x-4≤ -5

anonymous · Answer

ohhh ok thanks