Final answer:The question asks to solve the absolute value equation |3x + 7| = 4x. Breaking it down into two cases gives x = 7 and x = -7, which makes option (c) the correct solution.Explanation:The question is asking us to solve forxin theequation|3x + 7| = 4x. To solve this equation, we'll need to break it down into two separate cases due to the absolute value bars. First, weconsiderthe case where 3x + 7 is positive or zero, then thecase where3x + 7 isnegative.Case 1: 3x + 7 = 4xleadsto x = 7.Case 2: -(3x + 7) = 4x gives us x = -7. So the solution set to the questionincludesboth7and-7.Therefore, option (c) 7 and –7 is thecorrect solutionto the question as these are the only values of x thatsatisfytheoriginal equation.Learn more about Absolute Value Equations here:brainly.com/question/33804932#SPJ4...

Unlock to view answer

Unlock full access for 72 hours, watch your grades skyrocket.

For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.