For
|a|<b
assume
-b<a<b
so
add 5 to both side
|-2-8x|<66
assume
-66<-2-8x<66
add 2 to both sides
-64<-8x<68
divide everyboy by -8, don't forget to flip sign
8>x>-8.5
-8.5<x<8
the solution is all numbers between -8.5 and 8, not including -8.5 and 8
in interval notation: (-8.5,8)
or
S={x|-8.5<x<8}
4 liters is slightly bigger
Answer:
1264 and 632
Step-by-step explanation:
x + 2x = 1896
3x=1896
x=632
The rectangle has a perimeter P of 58 inches.The length l is one more than 3 times the width w.write and solve a system of linear equations to find the length and width of the rectangle?
Answer:
Length(L)=22 inches
Width(W) = 7 inches
Step-by-step explanation:
GIven:-
Perimeter (p)=58 inches,
Length(L)= one more than 3 times the width(W)
Let, W=x ---------------------------------(equation 1
-----------------------(equation 2)
Here x is unknown and to find the Width(W) we have to find the value of x.
Now,
Perimeter of rectangle(p) = 2 times length(L) + 2 times width(W)
![p=2L+2W](https://tex.z-dn.net/?f=p%3D2L%2B2W)
----------------(from equation 1)
----------------(given p=58 inches)
![58=8x+2](https://tex.z-dn.net/?f=58%3D8x%2B2)
![8x=58-2](https://tex.z-dn.net/?f=8x%3D58-2)
![8x=56](https://tex.z-dn.net/?f=8x%3D56)
![x=\frac{56}{8}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B56%7D%7B8%7D)
----------------------(equation 3)
Now substituting the value of equation 3 in equation 2.
![L=3x+1](https://tex.z-dn.net/?f=L%3D3x%2B1)
![L=(3\times 7)+1](https://tex.z-dn.net/?f=L%3D%283%5Ctimes%207%29%2B1)
![L=21+1](https://tex.z-dn.net/?f=L%3D21%2B1)
![L=22](https://tex.z-dn.net/?f=L%3D22)
![L=22 inches](https://tex.z-dn.net/?f=L%3D22%20inches)
as,
-----------------------(from equation 1)
inches -------------------(equation 3)
Therefore, Length(L) = 22 inches and Width(W) = 7 inches.