Inequalities I

When solving inequalities, keep the following facts in mind:

if

if

or

Ex 1 Solve the inequality .

Sol Subtracting 1 from each term gives , and then dividing by 3 gives . Therefore the solution is given by .

Ex 2 Solve the inequality .

Sol Writing the inequality without absolute values gives , and adding 4 to every term gives . Therefore is the solution.

Pr A Solve the inequality .

Pr B Solve the inequality .

Pr C Solve the double inequality .

Pr D Solve the double inequality .

Pr 1 Solve the inequality .

Pr 2 Solve the inequality .

Pr 3 Solve the inequality .

Pr 4 Solve the inequality .

Pr 5 Solve the inequality .

Pr 6 Solve the inequality .

Pr 7 Solve the inequality .

Lawrence Marx 2002-07-12