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. Write and solv

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. Write and solv

anonymous · Answer

@pooja195

pooja195 · Answer

Have you started this yet?

anonymous · Answer

@pooja195 nO :(

pooja195 · Answer

im not sure maybe @surjithayer can help again :)

anonymous · Answer

@surjithayer help me please :(((

anonymous · Answer

@NathanHill1089

anonymous · Answer

you have that:
3T + 2 < 14
2T - 7 > -11

anonymous · Answer

So... T < 4 and T > -2 $\rightarrow$ $T\in(-2,4) $

anonymous · Answer

for part B we see that 5 is not in the range, right?

anonymous · Answer

for part C
3-4<t<3+4
or -1<t<7