Answer:
Explanation:
To determine which inequalities are true, let's evaluate each option using the given values of x = -2 and y = 8.
A. |x| ≤ |y|:
|x| = |-2| = 2, and |y| = |8| = 8. Since 2 is less than or equal to 8, this inequality is true.
B. |y| ≤ |x|:
|y| = |8| = 8, and |x| = |-2| = 2. Since 8 is greater than or equal to 2, this inequality is false.
C. |x| > |y|:
|x| = |-2| = 2, and |y| = |8| = 8. Since 2 is not greater than 8, this inequality is false.
D. |y| < |x|:
|y| = |8| = 8, and |x| = |-2| = 2. Since 8 is not less than 2, this inequality is false.
E. x < y:
Since x = -2 and y = 8, -2 is indeed less than 8. Therefore, this inequality is true.
Based on the given values of x and y, the inequalities that are true are:
A. |x| ≤ |y|
E. x < y
I hope this helps!