Answer:
The triangle inequality states that the sum of the lengths of the two shortest sides of a triangle must be greater than the length of the largest side. Because 4 + 12 > 17 is not a true statement, the answer is "This triangle does not exist because the sum of 4 and 12 is less than 17."
PART A: The equation I used is y<span>≥-1x+4. The line will be graphed going diagonally from the second quadrant to the fourth quadrant and shaded above the line.
PART B: Plug in the coordinates for point C and F into the equation from PART A and solve them to make sure the statements are true. You should end up with 2</span>≥2 for point C and 4<span>≥1 for point F.
PART C: First graph the equation and then shade below the line. Next, identify all the points in the shaded area.
I hope this helps you! I have provided pictures of both equations for reference. The first picture is for PART A and PART B. The second picture is for PART C. Let me know if I'm correct :)</span>
The value of n that satisfies the inequality is 6.
<h3>What is inequality?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4n − 12 < 2n + 2
For n= 6
4(6) - 12 = 12
2(6) + 2 = 14
Thus, n=6 satisfies
For n= 7
4(7) - 12 = 16
2(7) + 2 = 16
Thus, n=7 not satisfies
For n=8
4(8) - 12 = 20
2(8) + 2 = 18
Thus, n=8 not satisfies.
For n= 9
4(9) - 12 = 24
2(9) + 2 = 20
Thus, n=9 not satisfies.
Learn more about inequality here:
brainly.com/question/20383699
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so, from 2 to 6, is 4 units.
from 1.5 to 2, is 0.5 units.
from 6 to 6.7, is 0.7 units.
4 + 0.5 + 0.7 => 4 + 1.2 => 5.2.
Answer:
(0,2)
Step-by-step explanation: