Question

A number less 7 is greater than -45. How can the solutions for this inequality be described? Is -40 a solution?
A) All numbers less than -38.; yes
B) All numbers greater than -38.; no
C) All numbers less than or equal to -38.; yes
D) All numbers greater than or equal to -38.; no
22)
Katie's savings account balance is $1625. During the summer she will be making weekly withdrawals of $125. She needs to keep a balance of at least $500 in her account. How many withdrawals can Katie make during the summer and still maintain a $500 balance? If the solution were graphed on a number line, which number(s) would not fit the "context" of the problem?
A) w ≤ 9; 0
B) w ≤ 11; 0
C) w ≤ 8; negative numbers
D) w ≤ 9; negative numbers

I dont know how to get these

Answer 1

n-7>-45
add 7 to each side
n is greater than -38

balance=1625-125w
500<=balance, so
500<=1625-125w add 125w to each side, subtract 500 from each side
125w<=1125
w<=10