Multi-Step Inequalities

Inequalities

PART 2: Solving Inequalities – VideoThis part of the project requires you to record a video (max 6 min) that covers the concept of solvinginequalities. In your video, you must go through detailed solutions of two example questions from thelists provided below and show how to solve that inequality by using one of the following methods: i)using intervals and ii) considering all cases. Show your solutions on a number line.Choose the 1stinequality from this list:1. 2x3+ 3x2 − 2x − 3 < 02. x3 − 2x2 − 5x + 6 > 03. x3 − 5x2+ 2x + 8 < 04. (x + 2)(3 − x)(x + 1) > 0Choose the 2ndinequality from this list:1.x2+9x+14x2−6x+5< 02.x−2x <x−4x−63.x2−3x−4x2+11x+30≤04.5x+4 ≥2x+1

−2x−3>−2−2𝑥−3>−2Step 1 of 2 :  Solve the linear inequality for the given variable. Simplify and express your answer in algebraic notation.

x>−3𝑥>−3Step 2 of 2 :  What type of interval does the following inequality represent?

What is the solution set for the following inequality?4x – 3 + 6x > 5x + 7