Solving inequalities

Inequalities are often represented in terms of

less than <
greater than >
and not equal to

I.E.:

3 < 4
4 > 3
4 not equal to 3

Like equalities, they can be solved by manipulating both sides

7 x < 21

divide both sides by 7

x < 3

-----------------

Consider

2 < 4

What if we multiply both sides by -2?

-4 < -8 ...but this is false!

So we must remember with inequalities that when we multiply or divide by a negative number we flip the sign!

-4 > -8 ...now correct!