Question

Write the solution to the given inequality in interval notation.

[-3,-1)
(-3,-1]
(-∞,-3) U [-1,∞)
(-∞,-3] U (-1,∞)

Answer 1

D, open ( and closed ]

Answer 2

D.
`(-\infty,-3]\text{U}(-1,\infty)`

Explanation:

We have been given solution of an inequality on number line. We are asked to write the solution to the given inequality in interval notation.

We can see that all values of x less than or equal
`-3` and greater than
`-1` are solution for our given inequality.

We have a solid dot at
`-3`, so
`-3` is a solution of inequality.

We have a open dot at
`-1`, so
`-1` is not a solution of inequality.

Upon combining both solutions, we will get:

`(-\infty,-3]\text{U}(-1,\infty)`

Therefore, the solution for the inequality is
`(-\infty,-3]\text{U}(-1,\infty)`.