The number of distinct real values of x, satisfying the equation $$max \left\{x, 2\right\} - min\left\{x, 2\ri

Question

The number of distinct real values of x, satisfying the equation $$max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \mid$$, is

Accepted Answer

The expression on the right-hand side will have two critical points: 2 and -2 For any value of x greater than equal to 2 , the equation changes to x+2-(x-2) = 4 the value of min{x,2} would be 2, so we would want max{x,2} to be 4+2 = 6 Therefore, x=6 works. For any value of x less than equal to -2, t

The number of distinct real values of x, satisfying the equation $max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \mid$ , is

The number of distinct real values of x, satisfying the equation $max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \mid$ , is

The number of distinct real values of x, satisfying the equation max{x,2}−min{x,2}=∣x+2∣−∣x−2∣max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \midmax{x,2}−min{x,2}=∣x+2∣−∣x−2∣, is

The number of distinct real values of x, satisfying the equation max{x,2}−min{x,2}=∣x+2∣−∣x−2∣max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \midmax{x,2}−min{x,2}=∣x+2∣−∣x−2∣, is

The number of distinct real values of x, satisfying the equation $max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \mid$ , is

The number of distinct real values of x, satisfying the equation $max \left\{x, 2\right\} - min\left\{x, 2\right\} = \mid x + 2 \mid - \mid x - 2 \mid$ , is