Solve the inequality and graph.

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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