Step-by-step explanation:
2 inches = 3 feet
x inches = 12 feet
![\bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} }](https://tex.z-dn.net/?f=%20%5Cbf%20%20%5Cfrac%7B2%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7Bx%7D%7B12%7D%20%20%5C%5C%20%20%5C%5C%20%20%5Cbf%203%20%5Ccdot%20x%20%3D%202%20%5Ccdot%2012%20%5C%5C%20%20%5C%5C%20%20%5Cbf%20%203%20%5Ccdot%20x%20%3D%2024%20%5C%5C%20%20%5C%5C%20%20%5Cbf%20x%20%3D%20%20%5Cfrac%7B24%7D%7B3%7D%20%5CRightarrow%20%20%5Cgreen%7B%20%5Cboxed%7B%20%5Cbf%20x%20%3D%208%7D%20%7D%20)
Answer: False, it's <u>not</u> a solution
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Explanation:
Replace every copy of c with 12. Then simplify.
4c - 2 > 46
4*12 - 2 > 46
48 - 2 > 46
46 > 46 ... false
The statement is false because there isn't a number that's larger than itself (or smaller than itself).
Since the last statement is false, this means the first inequality is false when c = 12.
Therefore, c = 12 is <u>not</u> a solution.
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Another approach:
Let's isolate c in the original inequality.
4c - 2 > 46
4c > 46+2
4c > 48
c > 48/4
c > 12
The solution set consists of numbers larger than 12. We leave 12 itself out of the solution set.
This is because c > 12 would be 12 > 12 which is false.
The answer is 204. Your well
Answer: -6P - 10
Step-by-step explanation:
STEP 1. -12 - 6P + 2
STEP 2. -6P + ( -12 + 2 )
STEP 3. -6P - 10
Answer:
7 apples
Step-by-step explanation:
10 apples - 3 apples = 7 apples