75.7k views
2 votes
Suppose x = -2 and y = 8. Select all the inequalities that are true. A. |x| ≤ Iy| B. |y| ≤ |x| C. lx| > lyl D. |y| < |x| E. x < y

User Miserable
by
7.9k points

1 Answer

4 votes

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!

User Ross Presser
by
8.1k points

Related questions

asked Oct 26, 2019 124k views
Refriedjello asked Oct 26, 2019
by Refriedjello
8.9k points
2 answers
3 votes
124k views
asked Dec 17, 2019 90.8k views
Ravi Singh asked Dec 17, 2019
by Ravi Singh
8.8k points
2 answers
4 votes
90.8k views