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. (3 points)

Part B: Can the temperature in this town be 5°C? Justify your answer by solving the inequalities in Part A. (3 points)

Part C: The average temperature in another town is 3°C, but the actual temperature is within 4°C of the average. solve an inequality

Answer 1

plz help

Answer 2

just started

Answer 3

what can you say about this question. what do you think we should do

Answer 4

im not really sure

Answer 5

ok so because we don't really know what the temperature is, we can assume it to be x. is it ok ?

Answer 6

ok

Answer 7

now 3 times the temperature. it means 3*x = 3x
increase it by 2. ==> 3x+2
it is still less than 14. so

3x+2<14.

Do you understand ? if not ask me a million times.

Answer 8

ok lol

Answer 9

wait so that is the inequality

Answer 10

that is an inequality but it only represents half the situation

Answer 11

ok

Answer 12

now can you form the other half of the inequality ?

Answer 13

ok

Answer 14

yah keep going

Answer 15

Twice the temperature minus 7 is greater than -11°C.
temperature is again x

Answer 16

2x-7 >-11

Answer 17

understand that part ? ^

Answer 18

so that is the other part of the inequality

Answer 19

yes

Answer 20

3x+2<14.
2x-7 >-11.

Answer 21

ok

Answer 22

next

Answer 23

now solve the inequality.
3x+2<14 ==> 3x<14-2 ===> 3x<12 ===> x<4

Answer 24

i solved the top one. now you solve the bottom one

Answer 25

2x-7>-11, 2x>-11+7, 2x>-4, x>-4 is this it?

Answer 26

i can understand you getting 2x>-11+7 but how did you get 2x>-4

Answer 27

actually its ok.

Answer 28

how did you get x>-4 ?

Answer 29

-11+ 7 = -4

Answer 30

you have 2x>-4 ==> divide both sides by 2 to make x alone. ==> 2x/2 > -4/2
x>-2 ==> answer

Answer 31

so could you type the whole thing out for me to see plz