As shown in the figure, we have two straight line. One of them has a negative slope and the other has a positive one. In two dimensions, the equation for non-vertical lines is often given in the slope-intercept form by:

being m the slope of the line and <span>b the y-intercept of it.
On the other hand, if x = 0 then y = b.
First of all we will order the equations above without </span>inequalities<span> like this:
A. </span>

,

<span>
B. </span>

,
C. 
,
D. 
,

<span>
As shown in the figure b = -1 for one straight and b = 4 for the second one. This values take place when x = 0. So, we discard C and D, because if x = 0, then:
</span>
For C, b = 1 and b = 4
For D, b = -1 and b = -4
Let's analyze A and B. So:
For A, m = 5 and m = 3
For B, m = 5 and m = -3
Therefore, we discard A because of the statement above.
Finally the answer is B. So, the inequalities are:
(1)

(2)

Let's prove this answer. We will take the point (2, 0) that is in the region in gray. So, substituting this point in the inequalities, we have:
(1)

(2)

In fact, this is true.
Answer:
Those two pair of equations have the same solution set.
Step-by-step explanation:
There are two equations
(x-1)(x+3)=17+x ..... (1) and
(x-1)(x+3)+500=517+x ...... (2)
We have to check the same solution set will be there for equations (1) and (2) or not.
Now, we are going to rearrange the equation (2).
(x-1)(x+3)+500=517+x
⇒ (x-1)(x+3)=517-500+x
⇒(x-1)(x+3)=17+x
This is the same equation as equation (1).
Therefore, there will be the same solution set for equations (1) and (2). (Answer)
There are two equations
(x-1)(x+3)=17+x ..... (3) and
3(x-1)(x+3)+500=51+3x ...... (4)
We have to check the same solution set will be there for equations (3) and (4) or not.
Now, we are going to rearrange the equation (4).
3(x-1)(x+3)+500=51+3x
⇒ 3(x-1)(x+3)=3(17+x)
⇒(x-1)(x+3)=17+x
This is the same equation as equation (3).
Therefore, there will be the same solution set for equations (3) and (4). (Answer)
The first is proportional the second is proportional and the third is not proportional
Answer:
Step-by-step explanation:
For window, area 3×2
=6
For wall, area=20×16
=320
Area of wall withot window=320-6
=316