khi taung

1.Draw the following intervals.
(a) {x/x > 2} (b) {x/x ≥ 3} (c) {x/x x ≤ -1} (d) {x/x>-1}
(e){x/-2≤ x≤ 2} (f) {x/0≤x≤ 5} (g) {x/x≤0 or x.2}

1. Draw a graph to show the solution set of each of the following.
   (a) x-1<4 (b) x-1≤ 0 (c) 2x≤5 (d) 2x-1>7
   (e) 5-x≥1 (f) 1/3(x-1)<1
   3.Draw the graph of the following number lines below one another.
   (a) P = {x/x≥3, x∈R} (b) Q = {x/x≤-2, x∈R}
   (c) P∩Q (d) P∪Q
2. On separate number lines draw the graph.
   S = {x/x>-4} , T = {x/x<3}.Give a set –builder description of S∩T.

Exercise 1.3

1. M = {x/x is an integer , and -3<x<6} , N = the set of positive integers that are less than 8.
   Find M∩N. (3 marks)
2. A = {x/x is a positive integer that is divisible by 3}, B = {x
   of each side.
3. C is the mid-point of AB, A if the point (-3,-2), and B is the point (2,8).
   What is the slope of BC?
4. Given the points D(-4,6), E(1,1), F(4,6), find the slopes of DE and EF. Are D,E and F
   collinear ? Why?