Contact The Learning Centre

# Linear equations

### Solving inequations

• Simple versions of inequations can be solved or rearranged in ways similar to those used to solve equations.
• There are some differences:
• When you switch sides in an inequality you must reverse the sign. For example, $$2 < 3$$ must become $$3 > 2$$, otherwise it is not true.
• When you divide or multiply by a negative number you must reverse the inequality sign. For example, $$2 < 3$$, but when multiplied on both sides by $$-1$$ it must become $$-2 > -3$$, otherwise it is not true.
• For example, solve the following inequation for $$x$$:
