Theory:
The standard form of set-builder notation is <span>
{ x | “x satisfies a condition” } </span>
This set-builder notation can be read as “the set
of all x such that x (satisfies the condition)”.
For example, { x | x > 0 } is
equivalent to “the set of all x such that x is greater than 0”.
Solution:
In the problem, there are 2 conditions that must
be satisfied:
<span>1st: x must be a real number</span>
In the notation, this is written as “x ε R”.
Where ε means that x is “a member of” and R means “Real number”
<span>2nd: x is greater than or equal to 1</span>
This is written as “x ≥ 1”
Answer:
Combining the 2 conditions into the set-builder
notation:
<span>
X =
{ x | x ε R and x ≥ 1 } </span>
Answer:
25.5 and 37.5
Step-by-step explanation:
x+y=63
x-y = 12 then x = 12 + y sub this into the first equation
(12+y) + y = 63
12 + 2y = 63
2y = 51
y = 25.5 then x = 37.5
Answer:
27.8 degrees
Step-by-step explanation:
Wasn't it 'a,' not 'A,' that you wanted?
The ratio a/ 30 is the cosine of the angle 22 degrees, which in turn is 0.927:
a
Then 0.927 = ------- which yields a = 30(0.927) = 27.8 degrees
30
Answer:
(x − 7)(x + 3)
Step-by-step explanation:
Step 1: You need to find out what to numbers add up to −4 and multiply −21?
−7 and 3
Step 2: Just rewrite the expression using the above and you're done!
(x − 7)(x + 3)
