InterviewSolution
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InterviewSolution
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Solve the linear Inequations in R.Solve: 4x - 2 < 8, when(i) x ∈ R(ii) x ∈ Z(iii) x ∈ N |
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Answer» Given as 4x – 2 < 8 4x – 2 + 2 < 8 + 2 4x < 10 Therefore divide by 4 on both sides we get, 4x/4 < 10/4 x < 5/2 (i) Given as x ∈ R When x is a real number, the solution of the given inequation is (-∞, 5/2). (ii) Given as x ∈ Z When, 2 < 5/2 < 3 Therefore when, when x is an integer, the maximum possible value of x is 2. The solution of the given inequation is {…, –2, –1, 0, 1, 2}. (iii) Given as x ∈ N When, 2 < 5/2 < 3 Therefore when, when x is a natural number, the maximum possible value of x is 2. As we know that the natural numbers start from 1, the solution of the given inequation is {1, 2}. |
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