Inequalities are used to show the relationship between unequal expressions
- <em>The set notation of (5) and (6) are: </em>
<em> and </em>
<em>.</em> - <em>See attachmen</em>t for the graphs
The following should be notated when plotting the graph of an inequality
- < and > are represented with open circles, while
and
are represented with closed circles - The arrows of
and
point to the left, while the arrows of
and
point to the right.
So, we have:

Rewrite as:
The graph of
will point to the right, and it will use an open circle

Split the inequality:
and 
<em>It is not possible for -6 to be less than x and at the same time, x is greater than or equal to -2.</em>
<em />
Hence.
cannot be represented on a graph

Split the inequality:
and 
means that -4 is less than x or x is greater than -4.
So, we have:
and 
If
and
, then we make use of
because it contains more values of x.
The graph of
will point to the right, and it will use an open circle
Read more about inequalities at:
brainly.com/question/11612965
Answer:
y = 4x+6
The input is 11 when the output is 50
Step-by-step explanation:
We need to find the slope of this function using 2 points
(3,18) and (0,6) are two points
m = (y2-y1)/(x2-x1) is the formula for slope
=(6-18)/(0-3)
-12/-3
=4
The slope is 4
We know the y intercept. It is the value when x =0. The y intercept is 6
We can use the slope intercept form of the equation
y = mx+b, where m is the slope and b is the y intercept.
y = 4x+6
We want to know the input when the output is 50 (or y=50)
50 = 4x+6
Subtract 6 from each side
50-6 = 4x+6-6
44 = 4x
Divide by 4
44/4 = 4x/4
11=x
The input is 11
Answer:

Step-by-step explanation:
The given function is
.
The domain refers to all values of x for which this function is defined.
Recall that: the domain of
is 
And we know
is the reciprocal of
.
Therefore the complement of the domain of
which is
is the domain of 
Answer:
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Step-by-step explanation:
we know that
The dimensions of the garden in the actual are 10 ft by 5 ft
The dimensions of the garden on the scale drawing are 12 in. by 6 in
step 1
Find the scale factor
To find the scale factor divide the corresponding side on the scale drawing by the corresponding side in the actual
so

simplify

That means
1.2 inches in the drawing represent 1 foot in the actual
step 2
Find out the dimensions of the herb garden on the scale drawing
we know that
The dimensions of the herb garden in the actual are 2 ft by 5 ft
Multiply by the scale factor
so


therefore
The dimensions of the herb garden in the scale drawing are 2.4 in. by 6 in
Answer:
c=2
Step-by-step explanation:
3c+8=14
subtract 8 from both sides
3c=6
divide both sides by 3
c=2