Solve one-step inequalities and represent solutions on a number line.
Solve an additive one-step inequality
Problem
Solve \(x~+~6~>~11\). Report the solution inequality with the correct boundary and inequality symbol.
Big Picture
What this problem is really about
Treat the inequality like a balanced comparison and undo the added six on both sides. Adding or subtracting the same amount preserves order, so the inequality direction does not change during this move. The resulting boundary separates working values from nonworking ones; test a value beyond it and the boundary itself to confirm both direction and strictness.
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