Sketch y= abs (x-3) + abs(x+3)
and find the solution set of the equation abs (x-3) + abs (x+3) =6
Thanks!!
since x can be postive or negative
solve for both
x is positive
x - 3 + x + 3 = 6
2x = 6
x = 3
x is negative
-x - 3 - x + 3 = 6
-2x = 6
x = -3
so your solution set is [-3,3]
to test this let x = a number within this set like 2
|2 - 3| + |2 + 3| = 6
if you graph this you will see a horz line between (-3,6) to (3,6)