Interval

• Solution syntax
  • Examples
• Interval boundaries with multiple of π
  • Example
• Interval boundaries with variables
  • Example

Consider the case that the answer to a problem is an interval or an union of disjoint intervals.

The optional TeX command \allowIntervalUnionsForInput[true] enables the option that the student's answer can be given by the union of multiple intervals.

Solution syntax

The solution is defined by a left and a right boundary , both seperated by a semicolon.

e.g. \solution{(-1;1]}, \solution{]-1;1]} (same interval as the first one), \solution{(myVar;100[}

The correct solution as an union of multiple disjoint intervals can be given by separating them with a comma. E.g. \solution{(-infinity;2],[3;infinity)} Be aware that this is only possible if the optional command \allowIntervalUnionsForInput[true] is used.

Examples

More Examples

Interval boundaries with multiple of π

If you want, that the solution and/or the answer boundaries can be written as multiple of π, use the command \allowForInput{pi}.

Example

Interval boundaries with variables

If you want, that the solution and/or the answer boundaries contain variables and not just numbers, use the command \checkAsFunction.
It works the same way as it does for input type input.function:

\checkAsFunction[options]{<variable>}{<low>}{<high>}{<steps>}

will automatically be a valid input. The answer will be numerically compared with the solution based on the command's parameters.

Example

In this example the answer will be compared numerically for 10 random values of k between -1 and 1. The difference beween answer and solution cannot be equal or bigger than 0.001.

WebMiau example