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
⇒ [tex]\frac{x}{5} + \frac{y}{- 5} = 1[/tex] ......... (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 [tex]0 + 5 \nless 0[/tex].
Therefore, the solution of the inequality is below the line (2) but not including the line.
Hence, the first graph will be correct. (Answer)
