**Inequalities I**

**Sol A** Subtracting and 9 from both sides gives
, and then multiplying by gives or
. Therefore is the solution.

**Sol B** Multiplying both sides out gives
, and then
subtracting from both sides gives . Therefore , so the
solution is given by .

**Sol C** Solving gives or , and solving
gives or . Taking the values of satisfying both
inequalities gives , so is the solution.

**Sol D** Solving gives or , and solving
gives or . Taking the values of
satisfying both inequalities gives , so is the solution.

**Sol 1** iff
iff iff
, so the solution is .

**Sol 2** iff iff iff iff
, so the solution is .

**Sol 3** iff
iff iff , so
is the solution.

**Sol 4** iff
iff iff or ,
so the solution is
.

**Sol 5** iff iff iff and
iff , so the solution is .

**Sol 6** can be broken up into the following two cases:
a) If , then gives or ; so .

b) If , then gives or ; so .

Combining the solutions for the two cases gives that is the solution.

**Sol 7** iff
iff
iff
iff iff

or iff or iff or , so is the solution.

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