Answer: Choice C (empty set)
The first thing to do is subtract 7 from both sides
|x| + 7 < 4
|x| + 7 - 7 < 4 - 7
|x| < -3
Recall that absolute value represents distance on a number line. Saying |x| is less than -3 means the distance is smaller than -3, which is impossible. Anything smaller than -3 is also negative. Distance can never be negative.
That leads us to the empty set as the solution. There are no values we can plug into any of the inequalities above, to have them lead to true statements.
Writing the special symbol 
is one way to represent the empty set. Another way is to write curly braces only with nothing inside them like so: { }, so its a set with nothing inside it more or less.
Answer:
I don't understand the question.
Step-by-step explanation:
It doesn't make any sense to me.
Answer:
2.4
Step-by-step explanation:yhyh
Since there are 6 students with neither brown hair nor blue eyes, the remaining number of students with at least one of the characteristic is 24. The sum of the students with brown hair only, with blue eyes only, and with both should be equal to 24. By letting x be the number of students with both, the equation that would best represent the given is,
(15 - x) + x + (17 - x) = 24
The value of x from the equation is 8.
a:
Just divide both sides by 7. Since 7 is positive, you don't need to change the inequality sign:
In set notation, we write
b:
Subtract 9 from both sides:
In set notation, we write
