Question

Help please!!! I don't understand

Answer 1

`\left|x-\frac 12\right| = 3\frac 23\\\\\\\implies \left|x- \frac 12 \right| = \frac{11}3\\\\\\\implies x-\frac 12 = \frac{11}3 ~~~~~~~~~ \text{or}~~~~~~~ x - \frac 12 = - \frac {11}3\\\\\\\implies 2x -1 = \frac{22}3 ~~~~~~~~ \text{or}~~~~~~~~2x-1 =-\frac{22}3\\`

`\implies x =\frac 12\left(\frac{22}3 +1 \right) ~~ \text{or}~~~~~~~~ x = \frac 12 \left(1-\frac{22}3\right)}\\\\\\\implies x = \frac{25}6~~~~~~~~~~~~~~~ \text{or}~~~~~~~~ x=-\frac{19}6\\\\\\\implies x = 4\frac 16 ~~~~~~~~~~~~~~~ \text{or}~~~~~~~~x = -3\frac16`