Question

Given: x + 2 < -5.

Choose the solution set.

a. x R, x < -7

b. x R, x < -3

c.x

d.x

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 .

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 ∈ R, x < -7.

Thus, the required solution set is x .

Option (a) is CORRECT.