contestada

Consider the following sets:
U = {points on the coordinate plane}
A = {solutions to the equation y = 2x + 5}
B = {points on the line y = mx}
For what value of m does A ∩ B = ∅?
m = ____

Respuesta :

mreijepatmat
U = {points on the coordinate plane}
A = {solutions to the equation y = 2x + 5}
B = {points on the line y = mx}

Value of the slope m so that  {2x + 5} ∩ {mx} =Ф
This means that {2x + 5} never intersects with {mx}
To that end m=2 (same slope), if so the 2 linear functions:

y = 2x+5 and y = 2x are PARALLEL

The value of m that does A ∩ B = ∅ is 2

Sets

Sets are collection of items. Therefore,

U = {points on the coordinate plane}

U is the universal sets

A =  {solutions to the equation y = 2x + 5}

B = {points on the line y = mx}

where

m = slope of the equation

Let's find the value of m that does A ∩ B = ∅.

∩ symbol means intersection

∅ symbol means an empty set or null sets.

The value of m that does A ∩ B = ∅ is simply means the value of m that A and B must not intersect .

Recall

  • Lines with the same slope are parallel
  • parallel lines does not intersect

For B not to intersect with A the slopes must be the same . Therefore, the value of m that does  A ∩ B = ∅ is 2

learn more on sets here: https://brainly.com/question/1559578?referrer=searchResults

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