ANSWER
m < -2
EXPLANATION
We want to find the solution set for m in:
![-3m+1>7](https://tex.z-dn.net/?f=-3m%2B1%3E7)
First, collect like terms:
![\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20-3m%3E7-1%20%5C%5C%20-3m%3E6%20%5Cend%7Bgathered%7D)
Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:
![\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B-3m%7D%7B-3%7D%3E%5Cfrac%7B6%7D%7B-3%7D%20%5C%5C%20m%3C-2%20%5Cend%7Bgathered%7D)
This means that all values of m must be less than -2.
<em>None of the options contains the correct solution set.</em>
Answer:
30 centimeters
Step-by-step explanation:
![\frac{24}{4} :\frac{y}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B4%7D%20%3A%5Cfrac%7By%7D%7B5%7D)
4 × y = 24 × 5
4y = 120
4y ÷ 4 = 120 ÷ 4
y = 30
Answer:
The novel has 117 pages
Step-by-step explanation:
Let p be the pages in the novel
p
−
3
=
114
p
=
117
Answer:
Perimeter = 22 units
Area = 30 units squared
Step-by-step explanation: To find the perimeter of this figure, add the lengths of the rectangle's four sides (5+6+5+6=22). To find the area of this figure, multiply the length and width of the rectangle (5x6=30).