Question

In a certain town the temperature, x in degrees Celsius on a certain day is described by two statements:


If 3 times the temperature is increased by 2, the temperature is still less than 14°C.
Twice the temperature minus 7 is greater than -11°C.


Part A: Create a compound inequality to represent the temperature range.
Part B: Can the temperature in this town be 5°C? Justify your answer by solving the inequalities in Part A.
Part C: The average temperature in another town is 3°C but the actual temperature is within 4°C of the average. Write and solve an inequality to find range

Answer 1

It seems to me that we can translate the first statement into mathematical symbols as follows: "if 3 times the temp is increased by 2, the temp is still less than 14 deg. Centigrad" becomes 3T+2<14, where I've used T to represent temperature.

Answer 2

Can you translate the second statement into math symbols?

Answer 3

i have to go..

Answer 4

Good luck, Courtney. Thanks for your patience.

Answer 5

hey, im back is there anyway you can help me? @mathmale

Answer 6

Sure. But I need to finish up a problem I'm helping another person with. I'll be with you.

Answer 7

mkay thank you

Answer 8

Hello, Courtney. How may I help you this time?

Answer 9

i have part a and b down , i need help with part c

Answer 10

for part a i got 3x+2>14
then for part b i got n becasue the answer to part a is x>4

Answer 11

I need to do some quick calculations. Be right with you.

Answer 12

Wouldn't " 3 times the temperature is increased by 2, the temperature is still less than 14°C" come out to 3T+2<14 ?
Then 3T<12, and T< ??

Answer 13

yeah i got that wrong

Answer 14

"Twice the temperature minus 7 is greater than -11°C" becomes 2T-7>-11, right?

Answer 15

Adding 7 to both sides of this inequality results in what new inequality?

Answer 16

Where would you like to focus? Shall we move on to Part C, or would you still like to go over Parts A and B?