This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Hey Noura, good to see you again. Here are the solutions to the questions from the image: 1. Complete the logic table in figure 1 Step 1: Fill the ~q column (negation of q). Step 2: Fill the p ^ ~q column (conjunction of p and ~q). | p | q | ~q | p ^ ~q | |---|---|----|--------| | T | T | F | F | | T | F | T | T | | F | T | F | F | | F | F | T | F | The completed logic table is shown above. Solve the inequality -12 5x - 2 < 3 and represent the solution. Step 1: Add 2 to all parts of the inequality to isolate the term with x. -12 + 2 5x - 2 + 2 < 3 + 2 -10 5x < 5 Step 2: Divide all parts of the inequality by 5 to solve for x. (-10)/(5) (5x)/(5) < (5)/(5) -2 x < 1 The solution to the inequality is -2 x < 1. Drop the next question.