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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. - ICSE Class 10 - Mathematics

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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 <= x + 1/3 and x +  1/3 < 10/3`

`=> -9/3 <=  x  and x < 9/3`

=> -3 <= x and  x < 3

`∴ -3 <= x < 3`

The required graph of the solution set is:

  Is there an error in this question or solution?

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Solution 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. Concept: Linear Inequations in One Unknown.
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