SOLUTION: 1.On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour. Which compound inequality represents the situation. a. 2

Algebra.Com
Question 127769: 1.On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour. Which compound inequality represents the situation.
a. 20>x>50
b. 20 c. 20<=x<=50
d. 20>=x>=50
2. Write an inequality for the situation:
All real numbers y that are less than 4 or greater than 9.
3. Solve the inequality:
a+8-2(a-12)>0
PLEASE HELP!!!!
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
If the minimum speed is 20 mph, then you must go 20 mph or faster. So mathematically, this looks like . Also, if the maximum speed is 50 mph, then the upper limit is 50. So mathematically, this looks like .


So we have these two inequalities

and

Rearrange to get


Now we can combine and to get


So our answer is C




-------------------------------------------------

# 2

The statement "that are less than 4" translates to and the statement "greater than 9" translates to


So together we have


or


-------------------------------------------------

# 3



Start with the given inequality



Distribute


Combine like terms on the left side


Subtract 32 from both sides


Combine like terms on the right side


Divide both sides by -1 to isolate a (note: Remember, dividing both sides by a negative number flips the inequality sign)



Divide

--------------------------------------------------------------
Answer:
So our answer is


RELATED QUESTIONS

To drive safely along a road, drivers need to maintain a speed of at least 50 miles per... (answered by fractalier)
On a road in the city of Madison, the maximum speed is 45 miles per hour and the minimum... (answered by stanbon)
A car covers 500 miles in 20 hour. What is the speed in miles per... (answered by MsRedz123)
The minimum sustained wind speed of a category 1 hurricane is 74 miles per hour. The... (answered by ikleyn)
On an interstate highway the maximum speed is 70 miles per hour and the minimum speed is... (answered by mananth)
A speed of 3.5 miles in 1 hour and 45 minutes is the same as how many miles per hour? (answered by Alan3354)
On a recent trip I averaged 20 miles per hour for 1 hour,30 miles per hour for 3 hours... (answered by Grinnell)
The maximum speed of a greyhound is 153 miles per hour less than 3 times the maximum... (answered by checkley79)
if you drive 45 miles per hour for 90 miles the 50 miles per hour for 50 miles and 72... (answered by Alan3354)