a) From the set {-8, -2/3, 5i, √(-9), √2, 0, 3+3i, -2.35, 7}i) List the set of Natural Numbersii) List the set of Integersiii) List of the set of Rational Numbersvi) List the set of Real Numbers (4 marks)b) i) -30 ÷ -6 - (-12 + 8) – 4 x 3 =

Answer and explanation:a) Given : From the set [tex]\{-8, -\frac{2}{3} , 5i, \sqrt{(-9)}, \sqrt 2, 0, 3+3i, -2.35, 7\}[/tex]To find : List the numbers ?Solution : i) List the set of Natural Numbers[tex]\{7\}[/tex]ii) List the set of Integers[tex]\{-8,0,7\}[/tex]iii) List of the set of Rational Numbers[tex]\{-8,0,-\frac{2}{3},7\}[/tex]iv) List the set of Real Numbers[tex]\{-8, -\frac{2}{3} ,\sqrt 2, 0, -2.35, 7\}[/tex]b) Given : Expression [tex]-30\div -6 - (-12 + 8)-4\times 3[/tex]To find : Solve the expression ?Solution :Expression [tex]-30\div -6 - (-12 + 8)-4\times 3[/tex]Applying BODMAS,Solve the bracket,[tex]=-30\div -6 - (-4)-4\times 3[/tex][tex]=-30\div -6+4-4\times 3[/tex]Solve the division,[tex]=5+4-4\times 3[/tex]Solve the multiplication,[tex]=5+4-12[/tex]Solve the addition,[tex]=9-12[/tex]Solve the subtraction,[tex]=-3[/tex]Therefore, [tex]-30\div -6 - (-12 + 8)-4\times 3=-3[/tex]