Answer:
The profit, p, made by the company is modeled by the function
→→ p=s²+9 s-142, where s is the number of T-shirts sold.
We want profit on T shirt sold should be more than $ 2,000.So,the profit equation can be written as,
⇒s²+9 s-142>2000
[tex]s^{2}+9 s-142-2000>0\\\\ s^{2}+9 s-2142>0\\\\s^{2}+51 s- 42 s-2142>0\\\\ s(s+51)-42(s+51)>0\\\\(s-42)(s+51)>0\\\\ s-42>0\\\\s>42[/tex]
→We will neglect, s+51> or <0,because number of T-shirts sold can't be negative.
Or,→→there is second way, mark points, 42 and -51 on the number line, and substitute , number greater than 42 on the profit Inequality,which is s²+9 s-2142>0, which gives ,s>42.
Option B: s >42
