Question

Which inequality represents the following sentence?
Seven fewer than a number is at least 14
A. x-7<14
B. 7-x≥14
C. x+7≤14
D. x-7≥14

Can you explain this to me rather than just give me the answer?
Thank You

Answer 1

at least means x-7 should be 14 or more.
\[x-7\ge 14\]

Answer 2

I also need help with this one

As a salesperson, Hannah earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay her bills. This following inequality can be used to find the amount of sales Hanna needs to have each month.

1200 + 0.075x ≥ 3000
What is the solution to the inequality?

A. x ≤ 28,000
B. x ≥ 28,000
C. x ≤ 33,750
D. x ≥ 33,750

Answer 3

Thanks for the help with the first one

Answer 4

\[1200+0.075 x \ge3300,\frac{ 75 }{1000 }x \ge 3300-1200\]
\[x \ge 2100\times \frac{ 1000 }{75 }~or~x \ge 28000 $\]