What graph is the graph of y ≥ 1 - 3x?

First of all option C and D are ruled out because no area is shaded. Because the values of Y are all ≥ 1 - 3x the area shaded should be above the line and the line should not be dotted, it should be a full line. Although there seems to be no option for both a full line and above the line is shaded.

The graph of given equality is shown below.

Step-by-step explanation:

The slope intercept form of a line is

         .... (1)

where, m is slope and b is y-intercept.

The given inequality is

The related equation of the given inequality is

             .... (2)

On comparing (1) and (2), we get

It means the slope of the line is -3 and y-intercept is 1. The graph of related line is a solid line because the sign of inequality is ≥.

Check the given inequality by (0,0).

This statement is false. So, (0,0) is not included in the solution set.

Therefore, the graph of given equality is shown below.

(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