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Graph each of the following inequalities.x-y=>4

2007-05-23 01:39:53 · 3 answers · asked by davidu69 1 in Education & Reference Homework Help

3 answers

x - y ≥ 4
-y ≥ 4 - x
(-1)(-y) ≤ (-1)(4 - x)

The previous answerer apparently forgot to reverse the inequality sign. We must do this whenever we multiply an inequality by -1. That gives us:

y ≤ x - 4

When we graph this, the solution set includes the line y = x - 4 and all points (x, y) for which y is less than x - 4. So, it would include the graph of the line itself and all points of the Cartesian plane which fall below that line, not above the line. That fact is made evident by this simple analysis. Let x = 0. Then y = 0 - 4 = -4 or y < (0 - 4) < -4. So y will fall below -4, not above it.

2007-05-23 02:23:04 · answer #1 · answered by MathBioMajor 7 · 0 0

i like to graph issues through putting them into slope intercept type. that's, y=mx+b 4x+y>=4 y>=-4x+y Now you may start up at helpful 4 on the y axis, that's the y intercept, then make a dot there. pass down 4 contraptions and one to the appropriate (Or up 4 contraptions and one to the left) and make yet another dot. Repeat till you have some dots. Draw a stable line, because of the fact the answer of the inequality includes the boundary (with the aid of equals sign). finally, we are seeking for all the y coordinates that are extra advantageous than, or extra advantageous than the x. So, shade in all the factors with a extra physically powerful y fee than the line, which may well be all factors above the line

2016-11-05 02:38:54 · answer #2 · answered by Anonymous · 0 0

http://i22.photobucket.com/albums/b338/mik0001000/yanswer1.jpg

its all the blue parts including the line

2007-05-23 02:06:36 · answer #3 · answered by Anonymous · 0 0

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