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1x+2\geq 5
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
1x\geq 5-2
Subtract 2 from both sides.
1x\geq 3
Subtract 2 from 5 to get 3.
x\geq 3
Divide both sides by 1. Since 1 is positive, the inequality direction remains the same.