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}
- 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
- 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
- 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)
- A = {x/x is a positive integer that is divisible by 3}, B = {x
of each side.
- 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?
- 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?
