Proportional? I think that is the answer.
The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.
Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.
Consider the inequality,
x ≥ - 4
In the number line, the value of x is equal to and greater than - 4 increasing to infinity.
Therefore,
The solution set using the set builder notation is:
{x | x ∈ Z, - 4 ≤ x ≤ ∞ }
The solution set of the inequality using the interval notation is:
[ - 4, ∞ )
Learn more about set builder notation here:
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Answer:
a) x=
10°
50°
130°
10°
50°
130°
170°
250°
290°
b) x=
90°
210°
330°
Step-by-step explanation:
2 sin (3x) = 1
a) look at the graph, y=1 when x is near:
10°, 50°, 130°, etc
in the equation: 2 sin (3x) = 1 ⇒ sin (3x) = 0.5 ⇒ 3x = 30° (and others) ⇒ x = 10° (and others). So the values given in solution (10°, 50°, 130°, etc) are true
b) is evident