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Grade 11 • Science Mathematics • Unit 1: Algebra

Chapter 1: Logic, Sets and Real Number System

Exercise 1.3

Question 1

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

Question 2

(i)

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

(ii)

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

Question 3

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

(e)

Answer and working

Signs of the factors of x(x − 2)
Interval or point

(f)

Answer and working

Signs of the factors of (x + 1)(x − 6)
Interval or point

(g)

Answer and working

Sign chart for x(x + 2)/(x − 1)
Interval or point
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Question 4

(a(i))

Answer and working

(a(ii))

Answer and working

(a(iii))

Answer and working

(a(iv))

Answer and working

(b(i))

Answer and working

(b(ii))

Answer and working

(b(iii))

Answer and working

(c(i))

Answer and working

(c(ii))

Answer and working

(c(iii))

Answer and working

(c(iv))

Answer and working

(c(v))

Answer and working

Source note:

(c(vi))

Answer and working

Source note:

Question 5

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

Question 6

(a)

Answer and working

(b)

Answer and working

(c)

Answer and working

(d)

Answer and working

Question 7

(a)

Answer and working

-6-4-202

(b)

Answer and working

-10123

(c)

Answer and working

-2-10

(d)

Answer and working

012

(e)

Answer and working

-2-101