Question

|x-3|( 12 years ago

Answer 1

x >= -2 or x <= 8

Answer 2

how do you get that?

Answer 3

when it's said that => |x-3|
they really mean

+1(x-3)
AND
-1(x-3)

so you'd end up with 2 values for "x"

Answer 4

|x -3|<= 5 means
either x -3 <= 5 or -(x-3) <=5
so if we solve this two linear equations independently
x <= 5+3 or -x +3 <= 5
x<= 8 or -x <= 5 -3
x<=8 or -x <=2
x<=8 or -(-x) >= -2 when inequality sing is negated it changes sign(from >= to <=)
x<=8 or x >= -2

Answer 5

thanks so much

Answer 6

You welcome