One Side Variables
3 < -5n + 2n
n < -1
2x + 9 <= 4x + 7
x >= 1
0 < x < 100
Open Circle ------------- Open Circle
0 100
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
x <= 12 weeks
4(-2g + 9) >= 18
g <= 9/4
-2n - 40 < 30 + 12n
n > -5
a >=2 OR a < -9
<----- Open Circle Closed Circle ----->
-9 2
A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how far could she travel?
x <= 12.69 miles
12 miles
(m/3) + (1/6) < 4
m < 11.5 OR 23/2
-4(4 + 7x)+ x >= -6x + 5
x <= -1
-6 <= x <= -4
Closed Circle ------------- Closed Circle
-6 -4
Student council is raising money for prom. They have already raised $334 and are selling T-shirts at a profit of $5 per shirt to raise more money. How many shirts do they need to sell in order to raise at least $2500?
x >= 433.2 T-shirts
434 T-shirts
6 - 4(6n + 7) >= 122
n <= -6
(v/8) - (5/2) > (2v/4) - (10/8)
v < (10/3)
p <= -5 OR p > 13/4
<----- Closed Circle Open Circle ----->
-5 (13/4)
A housing company offers two monthly plans.
Plan A: $500 per month plus an initial fee of $3000.
Plan B: $800 per month with a $200 initial fee.
How many months until plan A costs less than plan B?
x > 9.3
10 months
-2(2 - 2x) -4(3x + 5.25) <= 8.5
x >= -4.1875
24 + 6k < -6(-4 - k)
No solution!
-13.875 <= x < -13.874
Closed Circle ------------- Open Circle
-13.875 -13.874
A vacuum salesman (A) breaks down your door and says that he can pay you 15 dollars ever second you listen to him speak.
Another vacuum salesman (B) barges in and says she'll pay you 1000 dollars right now to listen to her, but she'll only give you 50 cents per second you listen to her.
How many seconds do you need to listen to salesman A before you make more money?
x> 68.96 seconds
69 seconds