Solving Compound Inequalities

1
Solving Compound Inequalities

• SEI.3.AC.1SLE 1 Solve, with and without
  appropriate technology, multi-step equations and
  inequalities with rational coefficients
  numerically, algebraically and graphically.
• Students will be able to solve compound
  inequalities and graph them.

2
Compound Inequalities

• To solve compound inequalities, we follow the
  same procedures that we do in solving
  inequalities. We just have a combination of
  inequalities to solve.
• Here are some examples

3
Compound Inequalities

• Here are some examples to graph

Another way to write this is and
.
Another way to write this is and
.
4
A Different type of Compound Inequality

• Sometimes the inequalities are written with the
  word or between two separate parts.
• To graph this type of inequality, we just graph
  each part on the same number line.
• Here is our example to graph.
• x gt 1 or x lt 1