Answer:
243
Step-by-step explanation:
Answer:
so natural numbers are numbers which of 1... to positive infinity
But when we talk about integers are both positive or negative numbers
either from -1 and above or +1 infinity and above
Answer:
The first graph will be correct.
Step-by-step explanation:
The given inequality is y + 5 < x .......... (1)
Now, straight-line y + 5 = x will be the reference line of the solution of the given inequality (1).
Now, y + 5 = x
⇒ x - y = 5
⇒
......... (2)
This equation is in intercept form and the straight line will pass through the points (5,0) and (0,-5)
Now, point (5,0) does not satisfy inequality (1) and hence, the line (2) is not included in the solution of the inequality (1).
Now, (0,0) point is above the line (2), but (0,0) point also does not satisfy inequality (1) as
.
Therefore, the solution of the inequality is below the line (2) but not including the line.
Hence, the first graph will be correct. (Answer)
Answer:
Step-by-step explanation:
The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.
This line has a y-intercept of 4 and a slope of -1.
This means that the equation of this line would be 
Now that we have the equation of the line, we just need to determine which inequality sign to use.
As the shaded region is BELOW the line, we will use a less than (<) sign.
As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that
would be the equation for this inequality.