Answer:
The solution set is { } or ∅ ⇒ empty set
Step-by-step explanation:
∵ 2x + 10 < 10
→ Subtract 10 from the two sides of the inequality
∵ 2x + 10 - 10 < 10 - 10
∴ 2x < 0
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}[/tex] < [tex]\frac{0}{2}[/tex]
∴ x < 0
∴ The solutions are all the negative numbers
∵ x ∈ N
∵ N is the set of Natural numbers
→ The natural numbers start at 1 and include all positive whole numbers
∴ N = {1, 2, 3, 4, 5, ..............}
∵ N does not contain any negative numbers
∴ The solution set is an empty set ⇒ ∅
∴ The solution set is { } or ∅
