Question

core concepts
multiplication and division properties of inequality (c > 0)
words multiplying or dividing each side of an inequality by the same positive number
produces an equivalent inequality.
numbers -6 < 8 6 > -8
2·(-6) < 2·8 \\(\frac{6}{2} > \frac{-8}{2}\\)
-12 < 16 3 > -4
algebra if \\(a > b\\) and \\(c > 0\\), then \\(ac > bc\\). if \\(a > b\\) and \\(c > 0\\), then \\(\frac{a}{c} > \frac{b}{c}\\).
if \\(a < b\\) and \\(c > 0\\), then \\(ac < bc\\). if \\(a < b\\) and \\(c > 0\\), then \\(\frac{a}{c} < \frac{b}{c}\\)
these properties are also true for \\(\leq\\) and \\(\geq\\).

Explanation:

The content is about the multiplication and division properties of inequalities in mathematics, specifically in the subfield of Algebra as it deals with algebraic expressions and rules for manipulating inequalities with variables (a, b, c) and positive numbers.

Answer:

Algebra (subfield of Mathematics)