Q 1. (a) Let R, the set of real numbers, be the universal set, A = (-3,6], B = [4, 8) and C = [2, 10). Find the set (AUB) - C and display the solution on the number line. (b) (i) Express the decimal -3.36 in the form where a, b € Z. (ii) Find the values of a and b given that a 1 1 2+√3 2-√√√3 + b (c) (i) Let z₁ = 3-2i and z2 = 3+2i be complex numbers. Compute 12 leaving your answer in the form x+iy. 21 (ii) Find the values of a and b if b-6i= a -5+ abi (d) (i) Find the limit or state if it does not exist x3 27 - lim 1-3 x²-9 (ii) Solve the inequality 3| ≤ 2 for real values of x.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter1: Solving Linear Equations
Section: Chapter Questions
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Q1. (a) Let R, the set of real numbers, be the universal set, A = (−3, 6], B = [4, 8) and C = [2, 10).
Find the set
(AUB) - C
and display the solution on the number line.
(b) (i) Express the decimal -3.36 in the form where a, b € Z.
(ii) Find the values of a and b given that
a
1
1
+
b
2+√3 2- √√3
(c) (i) Let z₁ = 3 − 2i and z₂ = 3 + 2i be complex numbers. Compute 12 leaving your answer
in the form x + iy.
21
(ii) Find the values of a and b if b-6i= a -5+ abi
(d) (i) Find the limit or state if it does not exist
x³ - 27
lim
x 3 x²9
(ii) Solve the inequality 3| ≤ 2 for real values of x.
Transcribed Image Text:Q1. (a) Let R, the set of real numbers, be the universal set, A = (−3, 6], B = [4, 8) and C = [2, 10). Find the set (AUB) - C and display the solution on the number line. (b) (i) Express the decimal -3.36 in the form where a, b € Z. (ii) Find the values of a and b given that a 1 1 + b 2+√3 2- √√3 (c) (i) Let z₁ = 3 − 2i and z₂ = 3 + 2i be complex numbers. Compute 12 leaving your answer in the form x + iy. 21 (ii) Find the values of a and b if b-6i= a -5+ abi (d) (i) Find the limit or state if it does not exist x³ - 27 lim x 3 x²9 (ii) Solve the inequality 3| ≤ 2 for real values of x.
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