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Find tha values of x^2 for the given val...

Find tha values of `x^2` for the given values of x. (i) `x lt 2`
(ii) `x gt -1 `
(iii) `x ge 2`
(iv) ` x lt -1 `

Text Solution

Verified by Experts

When `x lt 2 "we have " x in )- oo , 0 ) cup [ 0,2)`
for `x in [ 0, 2 ), x^2 in [ 0, 4 )`
for ` x in (-oo , 0) ,x^2 in (0,oo)`
`rArr for x lt 2,x^2 in (0,oo)`
`rArr x in [0,oo)`
(ii) When `x lt -1, "we have " x in (-1,0) cup [0 ,00)`
for `x in (-1 ,0 ), x^2 in (0,1)`
`rArr for x gt -1 , x^2 in (0,1) cup [0 oo) `
`rArr x in [ 0.oo)`
(iii) Here `x in [ 2 , oo)`
`rArr x^2 in [ 4,oo)`
(iv) `Here x in (- oo,-1)`
`rArr x^2 in (1,oo)`
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