Question 202220
Just  solve  as  equality  then  check  inequalities
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2x^2 +4x >15
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2x^2 +4x-15=0
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using  quadratic  formula
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x=1.91,,,,x=-3.915
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on  a  number  line  this  makes  three  areas
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x<-3.915,,,,test  point  (-4),,,checking  inequality,,2(-4)^2 +4(-4) >15,,,32-16>15,,16>15,,,ok
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-3.915<x<2.5,,,,test  point (0),,,0>15,,,,not  true
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x>1.91,,,,test  point (+3),,,2(3)^2+4(3)>15,,18+12>15,,30>15 ,,,ok
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Therefore,,x>1.91,,,x<-3.915