Answer:
B.5
C.7
D.9
Step-by-step explanation:
a,b and c are the sides of a triangle if it satisfies:
a<b+c , b<a+c and c<b+a
Here, a=4 and b=7
We have to find c
i.e. all those c which satisfies:
4<7+c , 7<4+c and c<4+7=11
A.3 it is not true since it doesn't satisfies second inequality
B.5 it is true
C.7 it is true
D.9 it is true
E.11 This is clearly false, since it doesn't satisfies inequality third
F.17 This is clearly false, since it doesn't satisfies inequality third
Hence, correct options are:
B.5
C.7
D.9
Answer:
![\displaystyle \frac{x^2+3x+2}{1-x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bx%5E2%2B3x%2B2%7D%7B1-x%7D%3C0)
Step-by-step explanation:
<u>Rational Inequality</u>
We are given the solution of rational inequality:
(-2,-1) U (1,∞)
The first set suggests a limited zone than can be obtained by a quadratic equation of the form:
![(x-a)(x-b)](https://tex.z-dn.net/?f=%28x-a%29%28x-b%29%3C0)
Where a and b are the roots of the equation, which coincide with the endpoints of the interval. Thus, to get the interval, we can use:
![(x+2)(x+1)](https://tex.z-dn.net/?f=%28x%2B2%29%28x%2B1%29%3C0)
Operating:
![x^2+3x+2](https://tex.z-dn.net/?f=x%5E2%2B3x%2B2%3C0)
The second set is an open infinite interval, that can be modeled as a third binomial that changes signs in x=1 and is in the denominator, so x=1 is not included.
Thus, one possible inequality is:
![\mathbf{\displaystyle \frac{x^2+3x+2}{1-x}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Cdisplaystyle%20%5Cfrac%7Bx%5E2%2B3x%2B2%7D%7B1-x%7D%3C0%7D)
-19 is the answer cuz 1-10-10 is -19.
Answer: 57
Step-by-step explanation:
Bowtown to Cliffton is 20 miles and clifttion to Aranville is 37 miles
20 + 37 is 57 miles