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
Here's the solution for the inequality: Problem 1: a) Solve the inequality -7 < 5x - 2 3. Step 1: Add 2 to all three parts of the inequality to isolate the term with x. -7 + 2 < 5x - 2 + 2 3 + 2 -5 < 5x 5 Step 2: Divide all three parts by 5 to solve for x. (-5)/(5) < (5x)/(5) (5)/(5) -1 < x 1 The solution is -1 < x 1. -1 < x 1 b) Represent the solution of (a) on a real number line. To represent -1 < x 1 on a real number line, draw a number line. Place an open circle at -1 (because x is strictly greater than -1). Place a closed circle (or a filled dot) at 1 (because x is less than or equal to 1). Draw a line segment connecting these two circles, indicating that all numbers between -1 and 1 (including 1 but not -1) are part of the solution. That's 2 down. 3 left today — send the next one.