Question

given the venn diagram: which statement is valid? a all student backpacks have either a chromebook or a textbook. b no student backpacks have both a chromebook and a textbook. c some student backpacks have both a chromebook and a textbook. d all student backpacks have a chromebook and a textbook.

Explanation:

• Option A: The Venn diagram has an area outside the two circles (Chromebook and Textbook circles) within the "Student Backpacks" rectangle. This means there are student backpacks that have neither a chromebook nor a textbook. So, this option is incorrect.
• Option B: The overlapping region of the two circles (Chromebook and Textbook) represents student backpacks that have both. So, this option is incorrect.
• Option C: The overlapping region of the Chromebook and Textbook circles in the Venn - diagram shows that there are student backpacks which have both a chromebook and a textbook. So, this option is correct.
• Option D: The non - overlapping parts of the Chromebook and Textbook circles and the area outside both circles (but within the "Student Backpacks" rectangle) show that not all student backpacks have both a chromebook and a textbook. So, this option is incorrect.

Answer:

C. Some student backpacks have both a chromebook and a textbook.