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Question

Solve 5x - 3 < 7 when

(i) x is an integer

(ii) x is a real number

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Solution

Here 5x - 3 < 7

5x<7+35x<10

Dividing both sides by 5, we have

x < 2

(i) When x is an integer then values of x that make the statement true are ..., -3, -2, -1, 0, 1 The solution set of inequality is {..., -3, -2,-1, 0, 1}.

(ii) When x is a real number. The solution set of inequality is x(.,2).


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