Kaldanis said:Homework Statement
Let A and B be sets.
Show that A \ B = ∅ if and only if A ⊆ B.I think this means that A is a subset of B, therefor if I remove all the elements of A that are in B, A would end up being empty (or ∅).
How do I write this mathmatically or is the above sentence acceptable?
Variables are typically represented with letters, such as x, y, or z. Equations are represented with the equal sign (=) and can include variables, numbers, and mathematical operations such as addition (+), subtraction (-), multiplication (*), and division (/).
An expression is a mathematical phrase that contains numbers, variables, and mathematical operations, but does not have an equal sign. An equation is a statement that shows the equality between two expressions, with an equal sign in the middle.
The order of operations in a mathematical expression is typically represented with parentheses (), brackets [], or curly braces {}. These symbols indicate which operations should be performed first, followed by those that come next according to the acronym PEMDAS (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right).
Fractions can be represented with the division symbol (/) or with a horizontal line. Decimals can be represented with a decimal point (.) or with scientific notation (a number followed by a decimal point and another number multiplied by a power of 10).
Graphs and plots can be represented using coordinates on a Cartesian plane, with the horizontal axis representing the independent variable and the vertical axis representing the dependent variable. The points on the graph can be connected with a line or marked with individual points.