Question

What is the solution set of the above question ?​

Answer 1

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

∴ $\frac{2x}{2}$ < $\frac{0}{2}$

∴ 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 ∅