Students will learn how to solve and graph multi-step inequalities in one variable. They will solve both word problems and mathematical ones. If students are struggling, you might review solving and graphing one and two-step inequalities. Students can check their answers in Sage like so:
x = var('x')
ineq = (2*(x - 4) > 4*x + 6)
print(solve(ineq, x))
Next, give your students these challenges:
- What Is Ziffle? by NRICH
- 2019 Math Kangaroo Levels 9-10 Problem #23 by STEM4all
- 2019 AMC 8, Problem 3
- 2012 AMC 8, Problem 22
- 2003 AMC 8, Problem 15
- Playing Fetch by Pierce School: Problem / Solution
Conclude by leading this investigation:
Wrongifying Operators
by MathPickle