Concept:Find the common range of x satisfying both linear inequalities.Explanation:Solve x+2>0: subtract 2 gives x>−2.Solve 2x−6>0: add 6 then divide by 2 gives x>3.The intersection of x>−2 and x>3 is x>3.In interval notation, this is (3,∞).Answer:(3,∞)