Write an inequality for the situation. all real numbers y that are less than 4 or greater than 9

a. y ≤ 4 or y ≥ 9

b. 4 < y < 9

c. y < 4 or y > 9

d. y < 9 or y > 4

Hello mate!

The notation:

a < b

means that the number b is bigger than the number a, and the notation:

a ≤ b  

means that the number b is bigger or equal than the number a.

"all real numbers y that are less than 4"

this is written as:

y < 4

"all real numbers that are greater than 9"

this is written as:

y > 9

then, the situation can be written as:

y <4 and y >9, which means that the right answer is option C.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47