Write the set that represents the set of people surveyed who subscribe to at least one of the two news sources given.

Complete  Question

The complete question is shown on the first uploaded image

The correct option is  d

Step-by-step explanation:

From the question we are told that

   The set of people in a certain community who were asked if they subscribe to an information source is  U

    The  set that subscribes to The Daily Informer is  D

      The set that subscribe to News Magazine is  N

Here the universal set is  U

Now the word at least here means that the person can subscribe to one or two of the information source , but the person  cannot subscribe none of the information source

Now to get the set that represents the set of people surveyed who subscribe to at least one of the two news sources , we need to carry out a union operation on the sets representing the two news source , this can be mathematically represented as

So the sets that will contain all the people in the community that subscribe to at least one of the news source is  L      

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5