Compound Inequalities
Solve and Graph
-3 < 9+3n < 27
-4 < n < 6
Daniel had $25 to spend at the fair. If the admission to the fair is $4 and the rides cost $1.50 each, what is the greatest number of rides Daniel can go on?
1.50x + 4 ≤ 25
x ≤ 14
3 < -5n + 2n
n < -1
dashed
Is (-2, 3) a solution to 2x - y > -9?
YES; -7 > -9
Solve and graph
m -2 < -8 OR m/8 > 1
m < -6 OR m > 8
New Jordans cost at most $350. You work at Taco Bell and make $14.25 an hour. But you just gave your brother $50 for his birthday. How many hours do you need to work to get the Jordans? Round to the nearest whole number
14.25h - 50 ≤ 350
h ≤ 28
6x + 2 + 6x < 14
x < 1
What type of line does < have?
Solid
How do you graph the following y > -x + 8?
Dashed line, shade above, y-intercept=8 and the slope is -1
Solve and Graph
r + 5 ≥ 12 OR r/9 < 0
r ≥ 7 or r < 0
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? Round your answer to the first decimal.
0.65x + 1.75 ≤ 10
No more than 12.7 miles
-p - 4p > -10
p < 2
What type of line and where do you shade for <?
Dashed line and shade below
How do you graph the following: y < 2/3 x - 4
dashed line, shade below, b=-4, m=2/3
Solve and graph
-3 ≤ p/2 < 0
-6 ≤ p < 0
Stan earned $7.55 per hour plus an additional $100 in tips waiting tables on Saturday evening. He earned $160 in all. To the nearest hour, what is the least number of hours Stan would have to work to earn this much money?
7.55h + 100 ≥ 160
h ≥ 7.9 Hours
9 ≥ -2m + 2 -3
m ≥ -5
How would the line for the following look? What's the Slope and Y-Int? Graph it
y< 3x-7
solid line b= -7 m=3
How do you graph the following: x > -2
dashed, right, vertical line
You want to spend no more than 500 dollars on an outfit for you birthday party. You have already spend 256 dollars on a shirt and pants. You just need to buy shoes. Write an inequality to represent the possible cost of the rest of your outfit.
x + 256 ≤ 500
Travis and Don each play a game in which they cannot laugh. In the game, a person starts with 110 points and loses 6 points for each laugh. If Don finishes the game with 74 points, how many times can Travis laugh and still win?
-6x + 110 > 74
x < 6
-3-6(4x+6) > -111
x < 3
What are the 2 steps to graph a line in y=mx+b?
2. Use the Slope to Graph the rest of the line
How do you graph the following: y<-3
solid, below(down), horizontal line