Question

Choose the solution set represented by the following graph.



{x | x R, x < -2}
{x | x R, x > -2}
{x | x R, x ≤ -2}
{x | x R, x ≥ -2}

Answer 1

Answer:

The solution set represented by the following graph is:

                {x | x∈ R, x < -2}

Step-by-step explanation:

Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.

This means that -2 is not included in the set.

Also in interval; form the set of points that belong to the solution set are:

                      (-∞,-2)

in set-builder form it is written as:

                      {x | x∈ R, x < -2}

Answer 2

Answer:

Option A.

Step-by-step explanation:

We need to find the solution set represented by the given graph.

From the given figure it is clear that there is an open circle around -2 and shaded region lie left side of -2.

Open circle around -2 represents that -2 is not included in the solution set.

Shaded area towards left of -2 represents that the solution must be less than -2. It means the sign of inequality is "<".

From the given graph it is clear that value of x lie in the interval (-∞,-2). So, the solution set is

$\text{Solution set}=\{x|x\in R,x<2\}$

Therefore, the correct option is A.