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Solve the inequation sqrt((x+14))lt(x+2)...

Solve the inequation `sqrt((x+14))lt(x+2)`

Text Solution

Verified by Experts

We have `sqrt((x+14))lt(x+2)`
This inequation is equivalent to the system
`{(x+14ge0),(x+2ge0),(x+14lt(x+2)^(2)):}implies{(xge-14),(xgt-2),(x^(2)+3x-10gt0):}`
`implies{(xge-14),(xgt-2),((x+5)(x-2)ge0):}implies{(xge-14),(xge-2),(xlt-5 "and" xgt2):}`
On combining all three inquation of the system, we get
`xgt2`, i.e. `x epsilon (2,oo)`
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