Solve each inequality.
1. 23m-5≥-28

2. 6w+1< 2(w+5)

3. which statement below can be modeled by x+4> 14?
a) sally has 4 bottles of water. together, sally and daniel have at most 14 bottles of water.
b) jennifer sold 4 cookbooks. to earn a prize, jennifer must sell at least 14 cookbooks.
c) perry has 4 baseball hats. perry and his brother have fewer than 14 baseball hats.
d) katie swam 4 laps in the pool this week. she must swim more than 14 laps.

set up the inequality to represent the problem. then solve. write a sentence explaining your answer.
4. meredith is saving up to buy a digital camera that costs $490. so far, she saved $175. she would like to buy the camera 4 weeks from now. how much money must she save each week to have at least enough money to buy the camera.

5. ashley works in accountant’s office and makes $45 per hour. she must pay $40 for daycare each day. if she wants to make more than $300 a day, at least how many hours must she work? assume she has to work the full hour.

6. your local bank offers free checking for accounts with a balance of at least $600. suppose you have a balance of $623.47 and you write a check for $32.98. how much do you need to deposit to avoid being charged a service fee?

7. you score a 82 and 86 on the first 2 tests in your math class. you would like for your average after 3 tests to be at least a 90. assuming that each test is worth 100 points. is this possible? if not, why not? if yes, what score must you make to have at least a 90 average.