Question

Given: x-5>-2.

Choose the solution set.
O {XIXER,X > -7)
OxIXER, x>-3)
O {XIXER, x > 3)
O XIXER,X>7)

Answer 1

The solution set is {x : x ∈ R, x > 3} ⇒ C

Explanation:

• The solution set of the inequality x > a is {x : x ∈ R, x > a}

• The solution set of the inequality x < a is {x : x ∈ R, x < a}

• The solution set of the inequality x ≥ a is {x : x ∈ R, x ≥ a}

• The solution set of the inequality x ≤ a is {x : x ∈ R, x ≤ a}

Let us solve the question

∵ x - 5 > -2

→ Add 5 to both sides of the inequality

∴ x - 5 + 5 > -2 + 5

∴ x > 3

→ By using the first rule above

∴ The solution set is {x : x ∈ R, x > 3}