Marquis conducted a survey asking people which of the following devices they own: a smartphone, a tablet, or a laptop. The Venn diagram that follows shows his results. Based on the diagram, determine each of the following: [list] [*]the number of people Marquis surveyed [*]the number of people who own all three devices [*]the number of people who own just a smartphone and a laptop [*]the number of people who own only a tablet, only a laptop, or both a tablet and a laptop [*]the number of people who do not own a tablet [/list] Assume that everyone Marquis asked responded to the survey, and everyone owned at least one of the devices.

[list=1] [*]Determine the number of people Marquis surveyed. [*]Determine the number of people who own all three devices. [*]Determine the number of people who own just a smartphone and a laptop. [*]Determine the number of people who own only a tablet, only a laptop, or both a tablet and a laptop. [*]Determine the number of people who do not own a tablet. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.

Given sets [math]A[/math], [math]B[/math], and [math]C[/math], find [math]A ∩ B[/math], [math]A ∩ C[/math], [math]B ∩ C[/math], and [math]A ∩ B ∩ C[/math]. [math]\,\,\,\,\,A[/math] = {red, blue, green, yellow, purple, black, pink} [math]\,\,\,\,\,B[/math] = {white, blue, red, orange} [math]\,\,\,\,\,C[/math] = {purple, red, blue, green, white}

[list=1] [*]Find [math]A ∩ B[/math]. [*]Find [math]A ∩ C[/math]. [*]Find [math]B ∩ C[/math]. [*]Find [math]A ∩ B ∩ C[/math]. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.