Question

1) Which of the following numbers is not part of the solution to x ≤ -2?

Answer 1

x ≤ -2, where x must be less (hence the <'s wider/open side pointing to -2 while the smaller/closed side is pointing at the x. This indicates that -2 is greater than x, thus we have to find a number less than -2 to solve for x.), or equal to (hence the underbar [ _ ] that means equivalent) -2. 

A) is incorrect because it's -2, and it is a solution because it is equivalent and is  -2. -2 = -2. 

B) is incorrect because -2.45 is farther from 0 than -2 is, thus making -2.45 less than -2. It's a solution.

C) is incorrect because -8 is farther from 0 than -2 is, so, like B, it's less than -2. Therefore it's a solution. Note that it's like the opposite with negative numbers. The greater numbers or the numbers farther from 0 equals the lesser numbers and the lesser numbers/ numbers closer to 0 equal the greater numbers. Say for instance, 100 is usually greater than 10 correct? In negative integers -100 is smaller than -10 given that -100 way farther from 0 compared to -10. 

D) -1.76 is the answer, because it is closer to 0 than -2 is, thus the greater number. X cannot be higher than -2. So this is not a solution.