Question
-7.2 = 5(x - 2.09) Without solving, what is one value that is too high to be x? explain your reasoning
Answers
Answered by
GPT 3.5
To find a value that is too high to be x without solving the equation, we can observe the equation and assess the factors that would affect the value of x.
Looking at the equation -7.2 = 5(x - 2.09), we can see that the right side of the equation is being multiplied by 5, while the left side remains constant at -7.2.
Since multiplying a number by 5 will always result in a larger value than the original number (assuming the original number is not negative and not zero), any value of x that is larger than the number that would make the right side equal to -7.2 would be too high to be x.
To be specific, the value that would make (x - 2.09) equal to -7.2 is obtained by dividing -7.2 by 5 and adding 2.09:
x - 2.09 = -7.2 / 5
x - 2.09 = -1.44
x = -1.44 + 2.09
x = 0.65
Therefore, any value of x greater than 0.65 would be too high to be x in the given equation.
Looking at the equation -7.2 = 5(x - 2.09), we can see that the right side of the equation is being multiplied by 5, while the left side remains constant at -7.2.
Since multiplying a number by 5 will always result in a larger value than the original number (assuming the original number is not negative and not zero), any value of x that is larger than the number that would make the right side equal to -7.2 would be too high to be x.
To be specific, the value that would make (x - 2.09) equal to -7.2 is obtained by dividing -7.2 by 5 and adding 2.09:
x - 2.09 = -7.2 / 5
x - 2.09 = -1.44
x = -1.44 + 2.09
x = 0.65
Therefore, any value of x greater than 0.65 would be too high to be x in the given equation.