Question

Given: x + 2 <-5.

Choose the solution set.
OXIXER,<-7)
OXIXERX <-3)
OxIXER X<3)
OXIXER X<7)

Answer 1

The solution set is {x : x ∈ R, x < -7} ⇒ A

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 + 2 < -5

→ Subtract 2 from both sides of the inequality

∴ x + 2 - 2 < -5 - 2

∴ x + 0 < -7

∴ x < -7

→ By using the second rule above

∴ The solution set is {x : x ∈ R, x < -7}