1.

If `-4lex lt 2 ` then ||x+2|-3 lies in the inervalA. (1,3]B. [1,3]C. [0,3]D. `[0,oo)`

Answer» Correct Answer - C
We have `-4 le x lt 2`
`rArr -2 le x +2 lt 4 `
`rArr 0 le x+2 lt 4 `
`rArr -3 le |x+2|lt 4 `
`rArr 0 le ||x+2|-3| le 3 `


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