Step-by-step solution-:

Solve the inequality for **x**:

-8\geq 2x

both sides are divided into **2**:

\frac{-8}{2}\geq \frac{2x}2\implies -4\geq x

Solve the inequality for x:

x-2>4\implies x>4+2\implies x>6

Plot the point **x=-4** with a closed circle because it is included in the solution.

All numbers to the left of **-4** represent numbers less than or equal to **-4**.

Plot the point **x=6** with an open circle because it is not included in the solution.

All numbers to the right of **6** represent numbers **x>6**.

All numbers to the left of **-4** or to the right of **6** represent the solution.

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