1.

Solve √x + 14 < x+2.explain quickly please......​

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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