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. MHF4UE Unit 1: Polynomial and rational functions (Part 2) - Application Task (12 marks) This is an evaluation that must be completed on your own with no help from tutors, friends or the internet. To earn full marks, you must justify your solution. Include the following as needed: Show diagram, Define variables, State formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, State concluding statement, Use correct notation. No marks are given if ion il i i liatis i i This is an evaluation, make sure you are completing the work on your own . . \" 6t 30 1. Given |nequal|ty7;