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

Answer 1

\[\left| x-4 \right| \le -5\]

Answer 2

x is less than or eaqual to -1

Answer 3

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

Answer 4

yes solve these 2 cases and that is you answer

Answer 5

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

Answer 6

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

Answer 7

ohhh ok thanks