We have that
<span> |x+6| >= 5
step 1
resolve for (x+6)>=5------> x>=5-6-------> x>= -1
the solution is the interval </span>(-1, ∞)
<span>
step 2
resolve for -(x+6) >=5------> -x-6 >=5----> -x >= 5+6---> -x>=11----> x<=-11
</span>the solution is the interval (-∞, -11)
<span>
using a graph tool
see the attached figure
the solution is the interval (-</span>
∞, -11) ∩ (-1, ∞)
Answer:
a)
Step-by-step explanation:
hello,
because of the end behaviour the constant in
should be positive so we have a) or d)
f(0)=-3 in both cases
for A) f(x)=

so f(x)=0 for 
so the correct answer is A)
hope this helps
Answer:
The inequality for
is:

Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle =
ft
Perimeter is at least 300 ft
To write an inequality for
.
Solution:
Perimeter of a rectangle is given as:
⇒ 
where
represents length of the rectangle and
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ 
Using distribution:
⇒ 
Simplifying.
⇒ 
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ 
Solving for 
Subtracting both sides by 16.
⇒ 
⇒ 
Dividing both sides by 2.
⇒ 
⇒
(Answer)