Question

Match the inequality with its graph?
Questions and options in comments!

Answer 1

Graphs:
A. http://curriculum.kcdistancelearning.com/courses/ALG1x-HS-A06/a/exams/5-HW6/graph_57.gif
B. http://curriculum.kcdistancelearning.com/courses/ALG1x-HS-A06/a/exams/5-HW6/graph_55.gif
C. http://curriculum.kcdistancelearning.com/courses/ALG1x-HS-A06/a/exams/5-HW6/graph_58.gif
D. http://curriculum.kcdistancelearning.com/courses/ALG1x-HS-A06/a/exams/5-HW6/graph_56.gif

Answer 2

Inequalities:
1. x+2y is bigger than or equal to 6
2. x-2y>4
3. y>3+(1/2)x
4. 4y+2x is smaller than or equal to 16

Answer 3

@aum Help please?

Answer 4

\[
x + 2y \ge 6 \\
2y \ge -x + 6 \\
y \ge -\frac 12 x + 3
\]The graph of this will be a solid line (not a dashed line) that has a negative slope and has an y-intercept of +3.

Answer 5

So, B?

Answer 6

Yes.

Answer 7

And I would follow those same steps on the other ones, too?

Answer 8

Yes. Some useful hints:
If it is \(\ge\) or \(\le\) then it will be a solid line.
If it is \(\gt\) or \(\lt\) then it will be a dashed line.
If the slope is negative, the line will make more than 90 degrees with the positive x-axis.
If the slope is positive, the line will make less than 90 degrees with the positive x-axis.

Answer 9

Okay, thank you very much!

Answer 10

\[
x-2y \gt 4 \\
x > 4 + 2y \\
x - 4 > 2y \\
\frac 12x - 2 > y \\
y < \frac 12x - 2
\]Because of the \( \lt \) sign, the line will be a dashed line. Because the slope is positive, the line will make less than 90 degrees with the positive x-axis. The y-intercept will be -2.

Answer 11

B1, D2, A3, C4?

Answer 12

Right? @aum

Answer 13

You are correct.

Answer 14

Awesome! Thank you again.