Rita needs to replace the ink cartridge for her printer. She found four brands that make replacement cartridges. The table below
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Use the graph to determine the solution of the inequality |x + 1| + 2 > 5.
To graph this , first we make the absolute function alone
|x + 1| + 2 > 5
to make absolute function alone we subtract 2 from both sides
|x + 1| > 3
x+1 inside the absolute function . so x=-1
From -1, move 3 units to the right and 3 units to the left.
For x>2 , shade the graph to the right
For x< -4, shade the graph to the left
The graph is attached below
The solution to the inequality is x<-4 and x>2
Area of the word ME = 20 square units
Solution:
Picks' Theorem:
where <em>I </em>is the interior points and <em>B</em> is the points on the boundary.
Let us first find the area of the letter M:
Number of interior points in M = 0
Number of points in the boundary = 22
Using pick's theorem,
Area of M =
Area of M = 10 square units
Now, find the area of the letter E:
Number of interior points in E = 0
Number of points in the boundary = 22
Using pick's theorem,
Area of E =
Area of E = 10 square units
Area of the word ME = Area of M + Area of E
= 10 square units + 10 square units
Area of the word ME = 20 square units
