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anonymous
 one year ago
In a certain town the temperature, x in degrees Celsius on a certain day is described by two statements:
1.If 3 times the temperature is increased by 2, the temperature is still less than 14°C.
2.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
anonymous
 one year ago
In a certain town the temperature, x in degrees Celsius on a certain day is described by two statements: 1.If 3 times the temperature is increased by 2, the temperature is still less than 14°C. 2.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

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Part 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 the range of temperature in this town.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Hey Kayla :) The temperature is denoted by the variable x. So for statement 1: `If 3 times x is increased by 2, then it is still less than 14°C.` Here is how we would write that algebraically: \(\large\rm 3x+2\lt14\) Do you understand what I did there? We need to do a less than for the 2nd statement.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1I mean a greater than*

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0maybe something like.. 2x  7> 11

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok very close! :) The temperature is above 11, not 11.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ummm so I guess for part A, they want us to isolate x in each inequality. This will give us our temperature range.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\large\rm 3x+2\lt14\]Understand how to get x alone in this equation? I would start by subtracting 2 from each side.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah 12 then divide by 3? so 4

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ok great, that gives us the first part of our compound inequality: \(\large\rm x\lt4\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.02x  7> 11 +7 +7 2x > 4   2 2 x > 2

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\(\large\rm x\gt2\text{ and }x\lt4\) Ok great! :) That answers part A.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0bc x < 4 so it cant be 5

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Ooo I think I made a boo boo. Notice that in Part B it says: `Justify your answer by solving the inequalities in Part A` So for Part A, I guess they didn't want us to solve them... they wanted us to do that work in Part B. So I suppose for Part A they actually wanted: \(\large\rm 3x+2\lt14\text{ and } 2x7\gt11\) Kinda weird :P

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So for Part B, you said no, and justified that by showing your work solving for x in each case. Good good good. Hmm let's see what's going on with C here..

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Mmm how to word this properly :d hmm let's see.. So our average temperature in another town is 3. The actual temperature, x, can fluctuate up 4 degrees or down 4 degrees. So our temperature x can be as high as 3+4, and as low as 34, ya?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah so between 1 and 7

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Good good good! :) So if you need to first write the inequality before you solve, I would probably do it like this: Say that \(\large\rm x\lt 3+4\text{ and }x\gt 34\) Which leads to your compound inequality again: \(\large\rm x\lt7\text{ and }x\gt1\) If we wanted to, we could write it like this: \(\large\rm 1\lt x\lt7\) Yayyy good job Kayla \c:/

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay! Thank you sooooo much for your time and help!
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