3(n + 5) ≥ 3n + 8
3n + 15 ≥ 3n + 8
3n - 3n ≥ 8 - 15
0 ≥ -7
Therefore, the solution to the inequality is all real numbers.
<h3>Answer: </h3>
The GCF is 4
The polynomial factors to 
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Further explanation:
Ignore the x terms
We're looking for the GCF of 12, 4 and 20
Factor each to their prime factorization. It might help to do a factor tree, but this is optional.
- 12 = 2*2*3
- 4 = 2*2
- 20 = 2*2*5
Each factorization involves "2*2", which means 2*2 = 4 is the GCF here.
We can then factor like so

The distributive property pulls out that common 4. We can verify this by distributing the 4 back in, so we get the original expression back again.
The polynomial inside the parenthesis cannot be factored further. Proof of this can be found by looking at the roots and noticing that they aren't rational numbers (use the quadratic formula).
Area = ab Sin O
= (63)(76) Sin 63 degrees
= 4266 square cm.
Answer:
<em>The area of Marlien's living room is 420 square ft</em>
Step-by-step explanation:
Before calculating the real dimensions of Marlien's living room, we must find the value of x.
Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.
The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

Simplifying:
-10 + x - 2 = 2
x = 10 + 2 + 2
x = 14
Since x=14 feet, the dimensions of Marlien's living room are
width=x=14 feet
length=2x+2=30 feet
Thus the area is:
A = 14*30 = 420 square ft
The area of Marlien's living room is 420 square ft