Answer:
−1 ≤ n + 7 < 9
To solve a compound inequality separate it into two inequalities
That is
n + 7 ≥ - 1 and
n + 7 < 9
Solve the inequality
n + 7 ≥ -1
n ≥ - 8
and
n + 7 < 9
n < 7 - 9
n < 2
Find the intersection
The final answer is
-8 ≤ n < 2
Hope this helps
Answer/Step-by-step explanation:
1. x*21 = 24*14 (intersecting chords theorem)
21x = 336
x = 336/21
x = 16
2. 27*x = 45² (secant-tangent rule)
27x = 2,025
x = 2,025/27
x = 75
3. (x + 5)*5 = (4 + 6)*6 (Intersecting secants theorem)
5x + 25 = (10)*6
5x + 25 = 60
5x = 60 - 25
5x = 35
x = 35/5
x = 7
4. (4x + 2)*8 = (5x + 1)*7
32x + 16 = 35x + 7
Collect like terms
32x - 35x = -16 + 7
-3x = -9
x = -9/-3
x = 3
270(pi/180)=3pi/2=theta
theta*radius=arc length
(3pi/2)(14)=65.9734 yds
Answer: 8
Step-by-step explanation:
(-11/2x + 3) -2(-11/4x - 5/2)
Distribute
-11/2x + 3 + 22/4x + 10/2
Simplify 22/4x and 10/2
-11/2x + 3 + 11/2x + 5
Cancel out 11/2x and -11/2x
3 + 5
Add 3 and 5
8
