To find the values of x that satisfy the inequality, we need to first find the critical points by setting each factor equal to zero:
x - 4 = 0x = 4
3x + 1 = 03x = -1x = -1/3
x - 2 = 0x = 2
Now, we can create a sign chart using these critical points:
Test x = -1: (-)(-)(-) = -Test x = 0: (+)(-)(-) = +Test x = 3: (+)(+)(-) = -Test x = 3.5: (+)(+)(+) = +Test x = 5: (+)(+)(+) = +
Therefore, the solution to the inequality is x < -1/3 or 2 < x < 4.
To find the values of x that satisfy the inequality, we need to first find the critical points by setting each factor equal to zero:
x - 4 = 0
x = 4
3x + 1 = 0
3x = -1
x = -1/3
x - 2 = 0
x = 2
Now, we can create a sign chart using these critical points:
Test x = -1: (-)(-)(-) = -
Test x = 0: (+)(-)(-) = +
Test x = 3: (+)(+)(-) = -
Test x = 3.5: (+)(+)(+) = +
Test x = 5: (+)(+)(+) = +
Therefore, the solution to the inequality is x < -1/3 or 2 < x < 4.