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Solve √x + 14 < x+2.explain quickly please...... |
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Answer» ong>Step-by-step EXPLANATION: x+14
x+14>0andx+2>0As y y>0(1) Sowecandirectlysquaretheequation (x+2) 2 >(x+14) x 2 +4x+4−x−14>0 x 2 +3x−10>0 (x+5)(x−2)>0 x∈(−∞,−5)∪(2,∞) Asx>−2Sothesolutionsetis x∈(2,∞) PartII 3 x+2 >( 9 1 ) x 1 3 x+2 >(3) x −2 3 x+2+ x 2 >3 0 x+2+ x 2 >0 x x 2 +2x+2 >0 Sothesolutionsetisx>0 |
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