SOLVING INEQUALITIES

TIP: When doing these sort of problems, remember:

a) All the techniques used for rearranging formulae apply to inequalities also, apart from
    division and multiplication by a negative number. Some exam boards say that you
    should not do this and set questions so that you don't need to. It is possible however,
    though you must remember to change the direction of the sign if you divide or multiply
    by a negative number.

b) A favourite with examiners (at higher level) is to ask you to list the integer solutions of     an inequality, or to state the highest integer solution etc. It helps if you know what an
    integer is!
    Integers can be positive or negative and exist in the range .....-2, -1, 0, 1, 2, 3....etc.

c) It also helps to know what the symbols mean so, here they are:

    < means "less than"          (remember this using "Less than points to the Left")
    > means "greater than"
    £  means "less than or equal to"
    ³  means "greater than or equal to"

      So for example,   6 < x   means the same as   x > 6     (if 6 is less than x, then x is greater than 6).

Solve the following: