Question

Given: x + 2 < -5.

Choose the solution set.

a.{x | x R, x < -7}

b.{x | x R, x < -3}

c.{x | x R, x < 3}

d.{x | x R, x < 7}

Answer 1

x + 2 < -5.....subtract 2 from both sides
x < -5 - 2...simplify
x < - 7.....ur answer is A

Answer 2

Answer:  The correct option is (a)  {x | x ∈ R, x < -7}.

Step-by-step explanation:  We are given to choose the solution set for the following inequality :

$x+2<-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The solution of inequality (i) is as follows :

$x+2<-5\\\\\Rightarrow x<-5-2\\\\\Rightarrow x<-7.$

Therefore, the solution set for the given inequality is all real numbers less than -7.

That is, the solution set is {x | x ∈ R, x < -7}.

Thus, the required solution set is {x | x ∈ R, x < -7}.

Option (a) is CORRECT.