Answer:
<h2>1. {x | 1 < x < 3}</h2>
Step-by-step explanation:
x + 2 < 5 <em>subtract 2 from both sides</em>
x + 2 - 2 < 5 - 2
x < 3
x - 7 > -6 <em>add 7 to both sides</em>
x > 1
From x < 3 and x > 1 we have 1 < x < 3
Answer:
<h2><u>E</u><u>k</u>sponent</h2>
![\sf{ \large{ \boxed{ \red{ {a}^{ \frac{n}{m} } = \sqrt[m]{ {a}^{n} } } } }}](https://tex.z-dn.net/?f=%20%20%5Csf%7B%20%5Clarge%7B%20%5Cboxed%7B%20%5Cred%7B%20%7Ba%7D%5E%7B%20%5Cfrac%7Bn%7D%7Bm%7D%20%20%7D%20%20%3D%20%20%5Csqrt%5Bm%5D%7B%20%7Ba%7D%5E%7Bn%7D%20%7D%20%7D%20%7D%20%7D%7D)
![\sf{ {2}^{ \frac{4}{3} } }](https://tex.z-dn.net/?f=%20%20%5Csf%7B%20%7B2%7D%5E%7B%20%5Cfrac%7B4%7D%7B3%7D%20%7D%20%7D)
![= \sqrt[3]{ {2}^{4} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%5B3%5D%7B%20%7B2%7D%5E%7B4%7D%20%7D%20)
![= \sqrt[3]{2 \times 2 \times 2 \times 2}](https://tex.z-dn.net/?f=%20%3D%20%20%20%5Csqrt%5B3%5D%7B2%20%5Ctimes%202%20%5Ctimes%202%20%5Ctimes%202%7D%20)
![= \boxed {\bold{\sqrt[3]{16}(c.) }}](https://tex.z-dn.net/?f=%20%3D%20%20%20%5Cboxed%20%20%7B%5Cbold%7B%5Csqrt%5B3%5D%7B16%7D%28c.%29%20%7D%7D)
Answer:
![8.5m^{2}+ m -5](https://tex.z-dn.net/?f=8.5m%5E%7B2%7D%2B%20m%20-5)
Step-by-step explanation:
Since perimeter,
and we know that P=2(l+w) then ![P=2(l+m^{2})=2l+2m^{2}](https://tex.z-dn.net/?f=P%3D2%28l%2Bm%5E%7B2%7D%29%3D2l%2B2m%5E%7B2%7D)
The length will be ![2l=19m^{2}+ 2m -10-2m^{2}=17m^{2}+ 2m -10](https://tex.z-dn.net/?f=2l%3D19m%5E%7B2%7D%2B%202m%20-10-2m%5E%7B2%7D%3D17m%5E%7B2%7D%2B%202m%20-10)
Now ![l=8.5m^{2}+ m -5](https://tex.z-dn.net/?f=l%3D8.5m%5E%7B2%7D%2B%20m%20-5)
4.3
4=ones
.3= hundredths
0=tenths
Hope I helped:P