Review
1) How do you enter a set of data into your graphing calculator? How do you find a line of best fit for that set of data?
2) Find the length and midpoint of the segment with endpoints (2, -4) and (-6, 0)
3) Use interval notation and inequality notation to describe the graph.
40
Answers:1) Press "stat" and "enter" to begin entering data into the calculator. Press "stat" and arrow over to "calc". Then, select "LinReg (ax + b)". Once that is on the main display screen, press "enter" to calculate the equation.2) length ≈8.9
midpoint: (-2, -2)3) (-∞, 4); x < 4
Guided Practice for Sect. P.3
Ex 1:Solve each equation.a) 4 - 2x = 3x - 6
Ex 1:b) 3(5x - 3) - 4(2x + 1) = 5x - 2
On Your Own
1) 2x - 3 = 4x - 5
2) 2(3 - 4z) - 5(2z + 3) = 5z - 2
Answers:1) x = 1
2) z = 8/19 (≈.42)
Guided Practice for Sect. P.3
Ex 2:Solve each inequality. Write your answer in both inequality and interval notation and graph the solutions on a number line.
a) x + 3 > 5
Ex 2:b) -9 < 2x + 5 <
7
On Your Own
Solve each inequality. Write your answer in both inequality and interval notation and graph the solutions on a number line.1) 2x - 1 < 4x + 3
2) -1 < 3x - 2 < 7
Answers:1) -2 < x (or x > -2)
[-2, ∞)
2) 1/3 < x < 3[1/3, 3]
0
0
-2
1/3 3
Guided Practice for Sect. P.3
Ex 3:Solve each inequality and graph the solutions on a number line.
a) 1 - 3x < 7
Ex 3:b) -20 < 5 - 2y <
15
On Your Own
Solve each inequality and graph the solutions on a number line.
1) 3x - 1 > 6x + 8
2) 2(5 - 3x) + 3(2x - 1) < 2x + 1
0
0
-3
3
Answers:1) x < -3
(-∞, -3]
2) x > 3[3, ∞)