Inequalities and Vectors
This page continues with inequalities and introduces the concept of vectors.
Highlight: The page demonstrates how to solve more complex inequalities and begins to explore vector problems.
An example of a more complex inequality is provided:
Example: 3x−91−2x > 0 is solved by considering the intervals where the expression is positive.
The page then transitions to vector problems, focusing on parallelograms.
Definition: Vectors are quantities that have both magnitude and direction, often represented by arrows in geometry.
A problem involving finding the coordinates of a point to form a parallelogram is presented:
Example: Given points A1,5, B−2,1, and C(4,4), find the coordinates of D to form parallelogram ABCD.
The solution demonstrates how to use vector properties to solve geometric problems.
Vocabulary: Parallélogramme Parallelogram - A quadrilateral with opposite sides parallel and equal in length.