<span>a.{x | x is a real number such that x^2 = 1}
x^2 = 1 => x = +/- 1
=> {-1, 1} <------ answer
b.{x | x is a positive integer less than 12}
1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer
c.{x | x is the square of an integer and x < 100}
x = n^2 < 100 => n^2 - 100 < 0
=> (n - 10) (n + 10) < 0
=> a) n - 10 > 0 and n + 10 < 0 => n > 10 and n < - 10 which is not possible
b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10
=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer
d.{x | x is an integer such that x^2 = 2}
</span>
x = {∅ } because x is √2 which is not an interger but an irrational number
=> Answer: { ∅ }
Answer:
10
Step-by-step explanation:
2-1 =1
7+3 = 10
10(1)^2 =
10(1) =
10
Sum of interior angles of a triangle = 180°
x+40+30= 180°
x+ 70=180
x= 180-70
x= 110°
Answer:
sorry if this is wrong
Step-by-step explanation:
a. 3
b.15
c.8
Hi there! :)
h(x) = 1/2x + 4
Substitute in -4 for "x" to solve for h(-4):
h(-4) = 1/2(-4) + 4
h(-4) = -2 + 4
h(-4) = 2
Since we are solving for h(-4) + 2, add:
2 + 2 = 4.
