What is replacement set in linear inequation.
Hi,
For a given inequation, the set from which the values of the variable are replaced is called domain of the variable or the replacement set.
For example;
Consider an inequation x < 4. Let the replacement be the set of whole numbers (W).
Solution:
We know that W = {0, 1, 2, 3, ...}. We replace x by some values of W. Some values of x from W satisfy the inequation and some don’t. Here, the values 0, 1, 2, 3 satisfy the given inequation x < 4 while the other values don’t.
Thus, the set of all those values of variables which satisfy the given inequation is called the solution set of the given inequation.
For a given inequation, the set from which the values of the variable are replaced is called domain of the variable or the replacement set.
For example;
Consider an inequation x < 4. Let the replacement be the set of whole numbers (W).
Solution:
We know that W = {0, 1, 2, 3, ...}. We replace x by some values of W. Some values of x from W satisfy the inequation and some don’t. Here, the values 0, 1, 2, 3 satisfy the given inequation x < 4 while the other values don’t.
Thus, the set of all those values of variables which satisfy the given inequation is called the solution set of the given inequation.