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To solve the inequality, we need to separate this into two separate inequalities, and then solve each of them.
The first is:
`2<=-(-1/2x-3)` distribute negative
`2<=1/2x+3` move 3 to other side
`-1<=1/2x` multiply by 2
`-1<=x` read from right to left instead of left to right
The other inequality is:
`-(-1/2x-3)<6` distribute negative
`1/2x+3<6` move 3 to other side
`1/2x<3` multiply by 2
The solution to the original inequality is the combination of the two separate ones, which is `-1<=x<6` which is `x in[-1,6)` in interval notation.
The solution is `x in[-1,6)` .
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