Homework Help

graph the following inequalites. x+y<_4. can you show me the calculations.

user profile pic

quddoos | (Level 1) Valedictorian

Posted September 16, 2013 at 10:20 PM via web

dislike 1 like

graph the following inequalites. x+y<_4. can you show me the calculations.

1 Answer | Add Yours

user profile pic

baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 16, 2013 at 11:25 PM (Answer #1)

dislike 0 like

Graph:  `x + y<= 4`

First, graph as line:  `x + y = 4 => y = -x + 4`

As a line, y = -x + 4, indicates the slope is -1 and the y-intercept is 4.

Since the inequality is equal as well as less than, graph the line solid.

Use a test point (0,0).  Any point will work, however (0, 0) is the easiest.

`0 + 0<=4` Since this is true (0,0) is a solution, therefore shade below the line of y = -x + 4.

Images:
This image has been Flagged as inappropriate Click to unflag
Image (1 of 1)

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes