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Tutorial 2: More Algebra, Inequalities and Absolute values

CHECK THE LINK BELOW THIS HEADING FOR SOLUTIONS! Remember to check the corresponding Questions on the memo only Click here to view the solutions to the question below 1. Solve the equation (a) \(\frac{1}{t-1} + \frac{t}{3} = \frac{1}{3}\) (b) \(\frac{1}{x} = \frac{4}{3x} + 1\) (c) \(\frac{z}{5} = \frac{3}{10}z + 7\) (d) \(r-2[1-3(2r+4)] = 61\) (e) \((t-4)^{2} = (t+4)^{2} + 32\) (f) \(\frac{2}{3}x - \frac{1}{4} = \frac{1}{6}x - \frac{1}{9}\) (g) \(\frac{4}{x-1} + \frac{2}{x + 1} = \frac{35}{x^2 - 1}\) (h) \((\frac{1}{x-1} 2 \frac{2}{x^2}\) (i) \(\sqrt{2x + 1} + 1 = x\) (j) \(\sqrt{\sqrt{x-5}+x} = 5\) (k) \(4(x + 1)^{\frac{1}{2}} - 5(x + 1)^{\frac{3}{2}} + (x + 1)^{\frac{5}{2}} = 0\) 2. Solve the inequality. Express the solution in interval form and illustrate the solution set on the real number line. (a) \(4-3x \leq -(1+8x)\) (b) \( \frac{2x+1}{x-5} \leq 3\) (c) \( \frac{(x-1)^2}{(x+1)(x+3)}\) (d) \

Tutorial 1: Pre-Calculus: Sets and Basic Algebra Involving Simplifying and Rationalizing Expressions

Quick Solutions to Pre-Calculus: Sets and Basic Algebra Involving Simplifying and Rationalizing Expressions This how-to blog is s resource of QUICK MATH SOLUTIONS for students who wants to find a quick way to pass their first year of college or university MATHEMATICS without having to worry about the theory bull they force you to remember. SO LETS JUMP IN TO IT! AND CHECK THE LINK BELOW THIS HEADING! Click here to view the solutions to the question below Question 1. Use the roster method to name each set: 1. \(A=\{x \mid x \mbox{ is an integer and } 1<= x <= 8 \}\) 2. \(B=\{y \mid y \mbox{ is an integer and } -5<= y <= 0 \}\) Question 2. Use the builder notation to name each set: 1. A=\(\{-1,0,1,2\}\) 2. B=\(\{10,11,12,13,\dots\}\) 3. C=\(\{10,20,30,40,\dots\}\) Question 3. Place \(\subset\), \(\supset\) or = in each blank to make a true sentence. 1. A=\(\{8,9\}\do