
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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