MINDS ON ACTION CONSOLIDATION Learning activity 1.15: Solving inequalities Solving equations and inequalities in one variable The main goal of this activity is for us to learn the difference between a solution to an equation in one variable and the solution to an inequality in one variable so we can solve inequalities. Let's start by learning the language and basic concepts that we will be using throughout this activity. In an earlier learning activity, we defined solving an equation as finding the numbers that fulfil the given equation. Solving an inequality means finding the range of numbers that fulfil the given inequality. Just like equations, inequalities can be solved algebraically or using technology. To solve an inequality algebraically, we will use inverse operations. Inverse operations rules Apply the inverse, or opposite, operation to both sides of an equation to gather like terms on one side or otherwise manipulate the equation. Review D] Recall: - The opposite of adding is subtracting. Opposite of positive is negative. @ drive.google.com #f Task 2 Thinking August 2024.pdf Open with Google Docs Name MHF4UE 2. An sale's manager for a sporting goods company estimates the revenue and cost functions for the production of a new model of running shoes . These functions are R(x) = x* + 10x and C(x) = 4x 4+ 5 respectively, where x is the number of running shoes produced, in thousands. The average profit is defined by the function AP(x) = % where P(x) is the profit function. Determine the production levels that make AP(x) > 0. [5 marks] drive.google.com + v C ch D2L 1.15:... G Appl... G Com.. G Task 2 T.. Hom.. Hom.. Ask... D2L Com... Cha... 24 V 1... M (2,2... M (1) -... Mat... Party Nu... variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions tation. No marks are given if PDF Task 2 Thinking August 2024.pdf your solution includes: e or Open with Google Docs valuation, make sure you are Share completing the work on your ov 1. Explain using an algebraic argument why the inequalities