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:
A
Step-by-step explanation:
The graph cuts each other at x≈5.5 and x≈-0.75
Answer:
initial cost per issue=$2
after subscription cost per issue=$1.6.
Step-by-step explanation:
Initially , Mei subscribed $24 for 12 issues for a magazine .When Mei used a coupen then 3 free bonus issues added to her subcsription .Therefore we can see the coupon reduces the cost per issue of Mei's subscription. Before use of coupon the cost of each issue is $2 and after added 3 more issue of coupon then the cost per issue is $1.6
Answer:
6
Step-by-step explanation:
So, the absolute value of −6 will be the distance from −6 to 0 on the number line, and it is 6.
