MTN8 - Wafa Wafa (f f O 41 54% 17:45 Edit 4 X Question 1 1. Solve advanced absolute value inequalities: (i) [x + 3| > |2x - 1| [5 marks] (ii) 13-2=| > 3 [3 marks] (ii) [x + 5| + |x - 3| > 14 [5 marks] 2. If 3x - y = 4, what is the value of 272 [3 marks] 3. If x - y = 1, write expression for [3 marks] 4. Simplify the following expressions without using the calculator (1) 2x 16 V8x V32 [4 marks] (ii) 102,125 x 101.5 4 100.625 (3 marks] (iii) log, 64 +log, 4-log, 8 log, 1024 [5 marks] (iv) The pH of a solution is defined as pl = - log[H]+, where [H]+ is the hydrogen ion concentration in mol.dm-3. The pH of a Shampoo is 5, 5. What is its hydrogen ion concentration? [5 marks] (v.) Draw the graphs of y = 3" and y = ()" on the same set of axes. To compile the table use values of a from -2 to 2. Use your graphs to determine the following: (a) The value of r for which 37 = 8 [2 marks] (b) The values of 315 and 3-1,5 [2 marks] (c) The value of x for which () = 6 [2 marks] 5. Graph the function defined as follows: 5. if x