Answer:
x < -1 or x > 9
Step-by-step explanation:

Add 3 to both sides.

Simplify.

Divide both sides by 10.

Simplify.

Apply absolute value rule: If
then
or 
or 

Add 4 to both sides.

Simplify.


Add 4 to both sides.

Simplify.

Combine the intervals.
or 
Answer:

Step-by-step explanation:

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Answer:
$34
Step-by-step explanation:
50% is half of 100%
(Because 50% x 2 = 100%)
Thus, half the money ($68) to find 50%.
So, 68÷2 = 34
Final answer is $34
Or
50/100 x $68 =$34
Hope this helps!
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answers:
The length of XY is 4
The length of ZW is 6
Because we don't get the same length (for XY and ZW), this means that the segments are not congruent.
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To find the length of segment XY, you can count the number of spaces between -7 and -3 to get 4 units. Or you can subtract and use the absolute value notation to ensure the result is positive
|-7-(-3)| = |-7+3| = |-4| = 4
Do the same for segment ZW.
|2-8| = |-6| = 6