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}

Choice A. { }

Step-by-step explanation:

Start by working on isolating the variable "x" in the inequality . We can do such by subtracting "2" from both sides:

Therefore, we need to consider all those real values of the variable "x" which are strictly smaller than -7 (reside to the left of -7 on the number line).

Such set of x-values can be described in set notation (the notation suggested in your answer choices) specifying:

a) with the group symbols "{"  and "}" the beginning and the end respectively of the set to be described,

b) with the expression "x |" we state: all those x-values such that,

c) with the symbols we state: x belongs to the set of Real (R) numbers,

d) and finally the condition on the values allowed for the variable x: x < -7 (x values must be strictly smaller than "-7"

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