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 is the solution for the inequality 3 - 4x < 11: Solve 3 - 4x < 11 Step 1: Subtract 3 from both sides of the inequality. -4x < 11 - 3 -4x < 8 Step 2: Divide both sides by -4. When dividing an inequality by a negative number, you must reverse the direction of the inequality sign. (-4x)/(-4) > (8)/(-4) x > -2 The solution is x > -2. Graphical Representation: To represent x > -2 graphically, draw a number line. • Locate -2 on the number line. • Place an open circle at -2. This indicates that -2 is not included in the solution set. • Draw an arrow extending to the right from the open circle. This arrow covers all numbers greater than -2. That's 2 down. 3 left today — send the next one.