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Question

Find the range of values of x which satisfies 223 x+13 <313, x R.

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Solution

Given: 223 x+13 <313

83 x+13 <103

83 x+13 and x+13 <103

8313 x and x <10313

813 x and x <1013

3 x and x <3

Rule: If both the sides of an inequation are multiplied or divided by the same negative number, then the sign of the inequality will get reversed.
On multiplying the left hand side inequation by -1, we get;

x 3 and x <3

Range of values is 3x<3.


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