Answer:
The solution set is the empty set.
Step-by-step explanation:
{x | x < 2} is the set of all numbers less than 2. This means x can take values such as 1.99, 0, -2000 and so on. That is, all values less than 2.
{x | x ≥ 2} is the set of all numbers equal to or greater than 2. This means x can take values such as 2, 2.1, 5000, and so on. That is, 2 or any value greater than 2.
Since there is no sign between the two sets, the question is asking for the intersection between these two sets. That is, what elements are common to these two sets? As we can see, the two sets don't have any common element. Hence, their intersection is the empty set.
(Note that the union of these two sets would be the set of all real numbers as that includes all elements from either set).
Answer:
Step-by-step explanation:
cute it into separate parts then add the areas together
Answer:
Parallel
Step-by-step explanation:
Parallel lines have the same slope but different y-intercepts. If you multiply the top equation by 2, you get:
2(12x + 4y = 16)
24x + 8y = 32
This shows that both lines have the same slope, but then you find the y-intercepts, they are different:
1st equation y-int = 4
2nd equation y-int = 9/2 or 4.5
Answer:
Let the number be n.
3n - 4= -15
3n= -15+4
3n= -11
n= -11/3
n= -3.67 or n= -3 2/3
Step-by-step explanation:
Bring over 4 to the RHS of the equation and divide the RHS by 3.
Answer:
x=90° and y=35°
Step-by-step explanation:
to get x and y first you must find the middle angles based on the information you have so:
35+90+n=180° solve for n to get what the middle angles are (since they are vertical angles they are equal) so the middle angles are both 55 degrees
and then 180-x=that angle that is also on the line with x so we'll call it k
so k+55+y=180°
we can see that y equals 35* because I noticed that those are parallel lines on the outside of the triangle so 35* and y angles are congruent and y =35°
now 35+55+k=180°
solve for the angle next to x which we called k and it is 90°
so x=90° and y=35°
after all this math I realized that if they are parallel lines then we can just use that to figure it out so use the properties to find out that x=90° and y=35°
