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Question
Find the range of values of x which satisfies
`-2 2/3 <= x + 1/3 < 3 1/3, x in R`
Graph these values of x on the number line.
Solution
`-2 2/3 <= x + 1/3 and x + 1/3 < 3 1/3`
`=> -8/3 <= x + 1/3 and x +1/3 < 10/3 `
`=> -8/3 - 1/3 <= x and x < 10/3 - 1/3`
`=> -9/3 <= x and x < 9/3`
`=> -3 <= x and x < 3`
`∴ -3 <= x < 3`
The required graph of the solution set is
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