Resolver cada una de las siguientes desigualdades. Debe incluir la notacin de desigualdad, de intervalo y la grfica. Debes demostrar todo el procedimiento necesario para dar con las contestaciones correctas.

|X - 2 | > 2

| X -4 |

| 2X 2 |

| 3X -3 | > 6

\fStep 1: Split the inequality into two cases based on the absolute value: Casel :x 4 3 Step 3: Combine the solutions from both cases: I3 2 Case2: (z2) > 2 Step 2: Solve each case separately: For Case 1: z2>2 x >4 For Case 2: (z2)>2 z4 2> 2 z >0 x 4 Step 4: Write the solution in interval notation: (00,0) U (4, 00) (3) Solve |20 2| 1 Step 3: Combine the solutions from both cases: Thereisnosolutionsincetherearenovaluesofathatsatis fybothconditions. (4) Solve |3x 3| > 6 Step 1: Split the inequality into two cases based on the absolute value: Casel B3e-3>6 Case2: (3x 3) > 6 Step 2: Solve each ease separately: For Case 1: 3r-3>606 Jr>9 xr >3 For Casce 2: (323)>6 3r+3 >0 dr>3 r3 Step 4: Write the solution in interval notation: (o0.1) U (3,00) \f