<u>Answer:</u>
So all the possible solutions are:
<u />
<u>Solution Steps:</u>
<em>First you need to solve the real inequality to understand how to find the rest of the possible equations. </em>
<u>Add 78 to both sides:</u>
- <u />
Cancels Out
<em>So now we know the real answer, but it ask for all possible answers. </em>
(Means anything larger than 300 when you plug it into x - 78 > 300.)
<u>Numbers that are greater than 378:</u>
1.)
(False)
2.)
(True)
3.)
(False)
4.)
(False)
5.)
(True)
6.)
(True)
7.)
(False)
8.)
(True)
______________________________

Answer: 15840
Step-by-step explanation:
3/12 ; 1/6 ; 1/3
Adam must first get the least common multiple of each denominator.
12 : 12, 24, 36
6 : 6, 12, 18
3 : 3, 6, 9, 12
12 is the least common denominator.
We, then, multiply each denominator by a number that will produce 12.
12 x 1 = 12
6 x 2 = 12
3 x 4 = 12
Each number multiplied to the denominator must be the number used to multiply each numerator.
3/12 * 1/1 = 3/12
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.
Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12
Substitute each fraction with its original fraction:
2/12 ⇒ 1/6 : least
3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3 : greatest