Given:
The inequality is:

To find:
The x-values that are the solutions to the given inequality.
Solution:
We have,

It means all the real numbers greater than 111 are the solutions to the given inequality.
, so 97 is not a solution.
, so 101 is not a solution.
, so 119 is a solution.
Therefore, the correct option is C.
14 divided by 17 is 14/17.
Hope this helps~
Answer:
36π m²
Step-by-step explanation:
The radius is half the diameter, so is (12 m)/2 = 6 m. The area formula is ...
A = πr² = π(6 m)² = 36π m² . . . the area of the circle
_____
π is the lower-case 16th letter of the Greek alphabet. Its name is "pi."
Answer:
cos(A) = 4/5
Step-by-step explanation:
3sinA+4cosA=5
Divide by 5 on both sides
(3/5)sinA+(4/5)cosA = 1 .................(1)
from which sin(A) = 3/5, cos(A) = 4/5 by inspection, since
(3/5)^2+(4/5)^2 = 1
For more details,
Let
cos(B) = (3/5), then
sin(B) = (4/5)
Substitute in (1)
cos(B)sin(A) + sin(B)cos(A) = 1 substitute trigonometric sum
sin(A+B) = 1 => A & B are complementary
cos(A) = sin(B) = 4/5
Answer:
[ 4, ∞ )
Step-by-step explanation:
Given
8(x - 5) - 3x ≥ - 20 ← distribute and simplify left side
8x - 40 - 3x ≥ - 20
5x - 40 ≥ - 20 ( add 40 to both sides )
5x ≥ 20 ( divide both sides by 5 )
x ≥ 4
Solution set is [ 4, ∞ )