which of the following are compound inequalities?
A. x>4 or x< -4
B. x>6
C. 8<5x<30
D. 7x>42 or -5x<10
is it just C or ACD ?
if you review the definition of a compound inequality, you will see that ACD is correct.
You need two inequalities, joined by AND (A) or OR (C,D)
The compound inequalities are:
A. x > 4 or x < -4 (compound inequality with "or")
C. 8 < 5x < 30 (compound inequality with "and")
D. 7x > 42 or -5x < 10 (compound inequality with "or")
So, the correct answer is A, C, and D.
To determine which of the given inequalities are compound inequalities, we need to understand what a compound inequality is.
A compound inequality is a combination of two or more inequalities connected by the words "and" or "or." It can be represented in the form of "a < x < b" or "a < x or x < b."
Now, let's analyze the options:
A. x > 4 or x < -4
This is a compound inequality since it combines two inequalities using the word "or."
B. x > 6
This is a simple inequality, not a compound inequality, because it does not have any combination of two inequalities.
C. 8 < 5x < 30
This is a compound inequality since it combines the inequalities "8 < 5x" and "5x < 30" using the word "and."
D. 7x > 42 or -5x < 10
This is a compound inequality since it combines two inequalities using the word "or."
So, the correct answer is ACD.