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2x-1\geq 3
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
2x\geq 3+1
Add 1 to both sides.
2x\geq 4
Add 3 and 1 to get 4.
x\geq \frac{4}{2}
Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.
x\geq 2
Divide 4 by 2 to get 2.