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1. Jasmine played outside today. She asked her mother if she could play outside tomorrow. Her mother said she could play outside only if the difference between today’s temperature and tomorrow’s temperature is less than 10 degrees. If today’s temperature was 93, what is the range of temperatures that would allow Jasmine to play outside tomorrow?
Address each of these parts:
a. Define the variable for the situation.
b. Write an absolute value inequality to represent the situation.
c. Solve the inequality.

Respuesta :

Answer by JKismyhusbandbae:

a. The variable is t because it is asking for the temperatures for tomorrow.

B. |93 - t| < 10

It is this equation because we are looking for t and the temperature has to be below ten degrees it is today.

C. 93 - t < 10 and 93 - t

apologiabiology

difference between a and b is |a-b|

difference between today and tomorrow is |today-tomorrow|


a. if we say t=tomorrow, then


b. difference is less than 10, so |93-t|<10 is the expression


c. for |a|<b, solve -b<a<b

|93-t|<10

-10<93-t<10

minus 93 from everybody

-103<-t<-83

divide both sides by -1 and flip sign direction

103>t>83

83<t<103 is the solution, which is the range of tempuratures allowed

in set notation, the range of values of tempuratures for which she is allowed to play outside is {t | 83<t<103}

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