Question

Write an inequality for the graph.

Answer 1

To graph an inequality, treat the < , ≤ , > , or ≥ sign as an = sign, and graph the equation. If the inequality is< or > , graph the equation as a dotted line. If the inequality is ≤ or ≥ , graph the equation as a solid line. This line divides the xy - plane into two regions: a region that satisfies the inequality, and a region that does not.



Next, pick a point not on the line. Check to see if this point satisfies the inequality. If it satisfies the inequality, shade the region which contains that point. If it does not satisfy the inequality, shade the region which does not contain that point. All the points in the shaded region will satisfy the inequality.


Note: The origin (0, 0) is usually the easiest point to test, provided it is not on the line.


Example 1: Graph y≤2x - 3 .




Step 1 -- Graph of y = 2x - 3
Does (0, 0) satisfy y≤2x - 3 ? 0≤2(0) - 3 ? No. Shade the region that does not contain (0, 0):


y≤2x - 3



Example 2: Graph 3x + 4y < 12 .



Step 1 -- Graph of 3x + 4y = 12
Does (0, 0) satisfy 3x + 4y < 12 ? 3(0) + 4(0) < 12 ? Yes. Shade the region that contains (0, 0):


3x + 4y < 12



Example 3: Graph y > x .



Step 1--Graph of y = x
(0, 0) is on the line, so we must pick another point. Does (0, 1) satisfy y > x ? 1 > 0 ? Yes. Shade the region that contains (0, 1):


y > x

Answer 2

the pictures are in order so each picture would go with an example. tell me if you're still confused.

Answer 3

im completely confused

Answer 4

lol. okay, if the inequality is< or > , graph the equation as a dotted line. If the inequality is ≤ or ≥ , graph the equation as a solid line.

Answer 5

Does that help any?

Answer 6

yeah

Answer 7

Ok, is that the only information you had. Can you write any inequality you want or is there more info?

Answer 8

thats the only information

Answer 9

Okay. So basically then you can graph any inequality. Then graph one of the examples above and use the information I just told you before.

Answer 10

but it gives my a graph its posted up their ^^ dont i have to use that?

Answer 11

Yes. Whenver you go to show your answer use your graph. & if it's < or > use a dotted line and if it's ≤ or ≥ then graph the equation as a solid line.

Answer 12

so i could use the equation 3x + 4y < 12 and that would be my answer?

Answer 13

does this help?

Answer 14

no. ughs i feel dunb.

Answer 15

hold on. the whole picture didn't show.

Answer 16

& no worries, you're not dumb. Everyone struggle with some type of math sometime in life. math sucks. lol.

Answer 17

If you have a printer, print that and it should help you solve the problem.

Answer 18

i cant really see it could you past the link

Answer 19

sure. one sec

Answer 20

http://www.algebra.com/algebra/homework/Distributive-associative-commutative-properties/Distributive-associative-commutative-properties.faq.question.249969.html