Joe, Keitaro, and Luis play tennis. To decide who will play against each other in the first match, they put their names in a hat
and choose two names without looking.
What subset of the sample space, A, represents the complement of the event in which Joe plays in the first match?

A = {KL}

Step-by-step explanation:

Since we have given that

There are three person : Joe, Keitaro, Luis.

And two names will be selected for he game .

Possible events will be

But we want to find the complement of the event in which Joe plays in hte first match,

As we know that complement of any events means eliminate that event from the universal set.

Event of getting Joe plays in the first match is given by

So, complement of this event that Joe plays in the first match is given by

The possible events are:

{JK, JL, KL}

The events where J does not play (the first game) are: {KL}

A = {KL}

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1