Answer:
500 - 40x ≥ 200
x ≤ 7.5
Step-by-step explanation:
Given,
The initial balance in account = $ 500,
Amount withdrawn every week = $ 40,
So, the widraw amount in x weeks = 40x dollars,
Thus, the final balance in the account after x weeks = initial balance - widraw amount
= ( 500 - 40x ) dollars
According to the question ,
Final balance ≥ $ 200
⇒ 500 - 40x ≥ 200
Which is the required inequality,
Subtracting 500 both sides,
-40x ≥ -300
40x ≤ 300 ( if a > 0 and b > 0, a > b ⇒ -a < -b )
⇒ x ≤ 7.5
Hence, she can week widraw the money in less than 7.5 weeks.
