Answer:
We have:
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.
Answer:
4
Step-by-step explanation:
X^2 + 5x = -2
x^2 + 5x + 2 = 0
x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2
x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2
answer is : negative 5 plus or minus the square root of 17 divided by 2
Total surface area is 152 cm
Answer:
∠ YVZ = 56°
Step-by-step explanation:
∠ WVZ = 90° ( given ), thus
∠ WVY + ∠ YVZ = 90, substitute values
2x + 3x + 5 = 90
5x + 5 = 90 ( subtract 5 from both sides )
5x = 85 ( divide both sides by 5 )
x = 17
Thus
∠ YVZ = 3x + 5 = 3(17) + 5 = 51 + 5 = 56°