Question

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


If 3 times the temperature is increased by 2, the temp 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 temp is within 4°C of the average. Write and solve an inequality to find the range of temp in this town

Answer 1

first write 2 inequalities
3x + 2 < 14
2x - 7 > 11

can you find the compound inequality from these?

Answer 2

im sorry i cant. im really bad it these

Answer 3

at*

Answer 4

ok sove the inequalities for x
3x + 2 < 14
3x < 12
x < 4

2x - 7 > 11
2x > 18
x > 9

now bring these together to get the compound form

Answer 5

i cant...

Answer 6

x < 4 or x > 11

Answer 7

is that the solution?

Answer 8

oh for part a

Answer 9

yes - to part A

Answer 10

ohh ok

Answer 11

part B
check the above - can the temperature be 5?

Answer 12

no it cant

Answer 13

right?

Answer 14

yes

Answer 15

ok

Answer 16

then part c is confusing to me too

Answer 17

?

Answer 18

part c

the range is 4 degrees either side of 3