Answer
Solving an inequality is the process of finding the set of numbers that makes the inequality a true statement.
The procedure for solving linear inequalities is the same as the procedure for solving linear equations. When we add or subtract any number to both sides of a linear inequality or linear equation, it does not change the sense of inequality or linear equation.
Work Step by Step
For example:
\[\begin{align}
& ax+by\ge c \\
& ax+by+d\ge c+d \\
& ax+by-d\ge c-d
\end{align}\]
So, the sense of all the three linear inequalities is the same.
Hence, addition and subtraction on both sides of the linear inequalities does not change the sense of inequality and linear equations.
