The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
<h3>
Which points are solutions of the inequality?</h3>
We want to find points of the form (x, y) that are solutions of the inequality:
x*y > 0
Clearly x and y must be different than zero.
So, for example if x = -1, y can be any negative number, for example y= -3
x*y > 0
(-1)*(-3) > 0
3 > 0
This is true.
Now if x = 1, y must be positive. LEt's take y = 103, then:
x*y > 0
1*103 > 0
103 > 0
Then we have 3 conditions:
- x ≠ 0
- y ≠ 0
- Sign(x) =sign(y)
The solutions fo the inequality are all the points (x, y) that meet these 3 conditions.
If you want to learn more about inequalities:
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Answer:
90.335
Step-by-step explanation:
Answer:
Variables:
x - group lessons
y - private lssons
The systems of equations to represent the problem:
12x+3y=132
10x+2y=100
Solution:
The cost for private lessons is $200
Step-by-step explanation:
x is the number of group lessons
y is the number of private lessons
multiply 12x+3y=132 by 5
multiply 10x+2y=100 by -6
so now the two equations you have are
60x+15y=660
-60x+-12y=-600
add the two equations together and you get
3y = 600
now solve for y:
y=200
Answer:
-12 , -6
Step-by-step explanation:
- 7 - 5 = - 12
- 2 - 4 = - 6
Question:
Solve for x:
. Fill in both values for x below. Write the greater value for x in the first column.
Answer:
and
are the values for x.
Explanation:
The equation is ![$12|x-4|+7=25$](https://tex.z-dn.net/?f=%2412%7Cx-4%7C%2B7%3D25%24)
Subtracting both sides by 7,
![$12|x-4|=18$](https://tex.z-dn.net/?f=%2412%7Cx-4%7C%3D18%24)
Dividing both sides by 12,
![$|x-4|=1.5$](https://tex.z-dn.net/?f=%24%7Cx-4%7C%3D1.5%24)
Now, we shall write the equation by removing modulus by adding plus and minus on the other side of the equation.
or ![x-4=-1.5](https://tex.z-dn.net/?f=x-4%3D-1.5)
Solving the equation
, we get,
or ![$\begin{aligned} x-4 &=-1.5 \\ x &=-1.5+4 \\ x &=2.5 \end{aligned}$](https://tex.z-dn.net/?f=%24%5Cbegin%7Baligned%7D%20x-4%20%26%3D-1.5%20%5C%5C%20x%20%26%3D-1.5%2B4%20%5C%5C%20x%20%26%3D2.5%20%5Cend%7Baligned%7D%24)
Thus, the solutions are
and ![x=2.5](https://tex.z-dn.net/?f=x%3D2.5)