Mathematics
Solve the following inequation and answer the questions given below.
(a) Write the maximum and minimum values of x for x ∈ R.
(b) What will be the change in maximum and minimum values of x if x ∈ W.
Linear Inequations
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Answer
(a) Given,
Solving L.H.S. of the inequation, we get :
Solving R.H.S. of the inequation, we get :
From equation (1) and (2), we get :
-1 ≤ x ≤ 5 and x ∈ R.
Hence, minimum and maximum value of x is -1 and 5 respectively.
(b) If x ∈ W.
Then, minimum value = 0 and maximum value = 5.
Hence, minimum and maximum value of x is 0 and 5 respectively, when x is a whole number.
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