Graph the solution set of x <= 4.
2007-08-30 05:25:59 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
On a number line, place a closed circle or ']' at 4 & include, by shading, everything to the left, toward - ∞.
2007-08-30 05:30:56 · answer #1 · answered by S. B. 6 · 1⤊ 0⤋
You'd end up shading in the area on the number line that's to the left of the number four with four shaded in as well. Your solution set for x<=4 is quite literally anything that's less then or equal to 4.
...-4, -3, -2, -1, 0, 1, 2, 3, 4, |5, 6, 7, 8, 9....
---------shaded in------------ |not shaded in
As for a 2-D graph, graph the vertical line the length of your graph at x=4 and then shade in everything to the left of that line. Since your solution set asked for x<=4, the vertical line at 4 remains a solid line, if it ever asks for x<4, then the vertical line should be a broken (dash) line.
2007-08-30 05:32:56 · answer #2 · answered by Mayuka 2 · 0⤊ 1⤋
if X is less than 4, then X is 3,2,1,0,-1,-2,-3,-4,-5.. all the way until infinity.
therefore, the graph would have a DOTTED vertical line on the 4 (on the X axis) . (it is dotted because X does not equal 4.), and place arrows at the top and bottom of this dotted line.
and then you would shade EVERYTHING to the left of that vertical line.
done.
2007-08-30 05:31:43 · answer #3 · answered by brookbabe90 5 · 0⤊ 0⤋
It would be a line that started on the number 4 and followed the X-Axis backwards into infinity.
Basically, a round closed dot on four, and a line going into the negatives on the x-line with an arrow on the end of it to show it keeps going past your graph.
2007-08-30 05:31:10 · answer #4 · answered by Elvenlost 2 · 1⤊ 1⤋
draw a vertical line(with arrows pointing up and down) at x=4, and shade everything to the left of 4
2007-08-30 05:31:48 · answer #5 · answered by Anderson 2 · 0⤊ 1⤋
Draw a solid vertical line through (4,0).
Shade everything to the left of the line. All points in the shaded region and on the solid vertical line satisfies the inequality.
2007-08-30 05:30:50 · answer #6 · answered by ironduke8159 7 · 1⤊ 1⤋
draw a vertical line at x=4 and shade everything to the left of it.
2007-08-30 05:30:55 · answer #7 · answered by Anonymous · 1⤊ 1⤋
- <====[4]-------- +
2007-08-30 05:31:12 · answer #8 · answered by fofo m 3 · 1⤊ 1⤋
I am holding the graph up to the computer screen, can you see it??
:-)
2007-08-30 05:32:07 · answer #9 · answered by muddypuppyuk 5 · 0⤊ 1⤋
(-infinity, 4]
2007-08-30 05:30:45 · answer #10 · answered by toxisoft 4 · 1⤊ 2⤋