This is a simple beginner lesson about inequalities, for about 6th grade level. We only use positive numbers.
I first explain the meanings of the four symbols: less than (<), greater than (>), less than or equal (≤), and greater than or equal (≥).
We then look at how simple word phrases can be "translated" or written as inequalities using a variable.
Next is time to PLOT some simple inequalities (such as x > 6 or x ≤ 10) on a number line, and when to use an open circle versus a closed circle.
We also solve simple linear inequalities in a given set.
Lastly, we look at how to use the number line to actually SOLVE some inequalities.
Terminology for the basic operations and writing algebraic expressions from words — video lesson
Math Mammoth Grade 6 curriculum