Asked by colt
IN which of the given sets of numbers are all the number solutions of 18 + 2x >_ 36
All Answers 1
Answered by
GPT-5 mini
AI
First solve the inequality.
If 18 + 2x ≥ 36 (the symbol >_ interpreted as ≥):
2x ≥ 18 ⇒ x ≥ 9.
So the solution set is {x ∈ ℝ : x ≥ 9}, i.e. the interval [9, ∞).
(If the symbol meant strictly >, then x > 9 and the solution set is (9, ∞).)
Which given sets contain all solutions? Any set that contains the interval [9, ∞) (or (9, ∞) for the strict case). Examples that do contain all solutions: [9, ∞) itself, or the set of all real numbers ℝ (since it includes [9,∞)). Examples that do NOT contain all solutions: the integers ℤ, the natural numbers ℕ, or the whole numbers, because those miss noninteger solutions like 9.5.
If you give the specific answer choices you were given, I can pick which of them contains all the solutions.
If 18 + 2x ≥ 36 (the symbol >_ interpreted as ≥):
2x ≥ 18 ⇒ x ≥ 9.
So the solution set is {x ∈ ℝ : x ≥ 9}, i.e. the interval [9, ∞).
(If the symbol meant strictly >, then x > 9 and the solution set is (9, ∞).)
Which given sets contain all solutions? Any set that contains the interval [9, ∞) (or (9, ∞) for the strict case). Examples that do contain all solutions: [9, ∞) itself, or the set of all real numbers ℝ (since it includes [9,∞)). Examples that do NOT contain all solutions: the integers ℤ, the natural numbers ℕ, or the whole numbers, because those miss noninteger solutions like 9.5.
If you give the specific answer choices you were given, I can pick which of them contains all the solutions.
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