InterviewSolution
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InterviewSolution
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Solve the linear Inequations in R.Solve: 12x < 50, when(i) x ∈ R(ii) x ∈ Z(iii) x ∈ N |
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Answer» Given as 12x < 50 Therefore when we divide by 12, we get 12x/12 < 50/12 x < 25/6 (i) Given as x ∈ R When x is a real number, the solution of the given inequation is (-∞, 25/6). (ii) Given as x ∈ Z When, 4 < 25/6 < 5 Therefore when, when x is an integer, the maximum possible value of x is 4. The solution of the given inequation is {…, –2, –1, 0, 1, 2, 3, 4}. (iii) Given as x ∈ N When, 4 < 25/6 < 5 Therefore when, when x is a natural number, the maximum possible value of x is 4. As we know that the natural numbers start from 1, the solution of the given inequation is {1, 2, 3, 4}. |
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