Let's call x^2: a; -7x: b; and 10:c
So what I do in this case:
when the number squared does not have a coefficient in front, I ask myself, what does A times C equal
the answer is 10 --> now what factors of ten, add up to -7 (the factors can be negative and/or positive)
the answer is -2 and -5
so with this, you do: (x-2)(x-5)
there's your answer, i hope that makes sense
DC + BD = BC (your answer is correct). None of the other answers can be 100% proven
Answer:
no the real answer is 12>3
Answer:
![\boxed{\large \{3, 4\}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Clarge%20%5C%7B3%2C%204%5C%7D%7D)
Step-by-step explanation:
1. Solve the inequality
![\begin{array}{rcll}7x + 6 & > & 20 & \\7x & > & 14 & \text{Subtracted 6 from each side}\\x & > & 2 & \text{Divided each side by 7}\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcll%7D7x%20%2B%206%20%26%20%3E%20%26%2020%20%26%20%5C%5C7x%20%26%20%3E%20%26%2014%20%26%20%5Ctext%7BSubtracted%206%20from%20each%20side%7D%5C%5Cx%20%26%20%3E%20%26%202%20%26%20%5Ctext%7BDivided%20each%20side%20by%207%7D%5C%5C%5Cend%7Barray%7D)
2. Write the solution set
![\text{The solution set from $\{1, 2, 3, 4\}$ that satisfies the inequality is } \boxed{\large \mathbf{\{3, 4\}}}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20solution%20set%20from%20%24%5C%7B1%2C%202%2C%203%2C%204%5C%7D%24%20that%20satisfies%20the%20inequality%20is%20%7D%20%5Cboxed%7B%5Clarge%20%5Cmathbf%7B%5C%7B3%2C%204%5C%7D%7D%7D)
Note that {2} is not a member of the solution set because
7(2) + 6 ≯ 20