 Written in the form ◦ ax + b ≥ 0  Solving a first degree inequality in one variable means finding the values of x that make the inequality true ◦ Example: 3x – 5 ≥ 13 3x ≥ x ≥ 18 3 x ≥ 6  06

 The length of a rectangle is 5cm more than its width. The perimeter is at least 66cm. Find the minimum measures of the length and width.

 Written in the form ◦ ax + by + c = 0 ◦ y = ax + b  The solution set of a first degree inequality in two variables is represented graphically by a half- plane, whose boundry is the equation of the line ◦ Example: ≥ or ≤ Solid boundry > or < Dashed boundry

 Represent graphically the solution set for the following inequalities: a) y –x -1< 0b) -2x + y + 5 ≥ 0

 Translate each of the following graphs into an inequality: a) b) y ≤ 2x -4 x < -1

 A financial company employs regular staff at 20$/h and contract staff at 25$/h. The company has a budget of $2000 for the employee salaries.

The cost of using a cell phone varies according to the time of day. One company offers the following rates: 0.50$/min for 6am to 8pm 0.10$/min for 8pm to 6am Jenna receives a bill that is greater than $.

 A school bus is transporting both students (s) and teachers (t). Write an expression for each: ◦ There are at least 40 people on the bus ◦ There are less than 55 people on the bus ◦ The difference between the number of students and teachers is greater than 30 ◦ There is at least 5 times more students than teachers