- 3
5
6
Part B. Explain why you chose to use the symbols you used for the endpoints of the compound inequality
in Part A. (2 points)
Part C. Rolando buys at least 8.5 but no more than 11 gallons of gas each week. The price of gas has ranged
from $2.40 to $2.65 per gallon each week. Write an inequality to model all of the possible amounts of
money (m) Rolando spends on gas each week. Show your work. (4 points)

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

answer by jkismyhusbandbae:

a) how close a measured value is to the actual (true) value.

  measure of length.   there are 12 inches in a foot, and 36 inches in a yard.   one inch is exactly 2.54 centimeters.

accuracy is how close something is to an actual answer but it is not exactly correct.

61.7% of the boys chose fishing

should be c. 3: 10