Answer:
1
Step-by-step explanation:
To solve the inequality means that we need to isolate the x on one side of the inequality.
We will do this as follows:
-x + 8 > 6
-x + 8 - 8 > 6 - 8
-x > -2
Now multiply both sides by -1 to get a positive x. Remember that when multiplying by a negative value, we flip the sign of the inequality as follows:
-x * -1 > -2 * -1
x < 2 .....................> Final inequality
Now, let's check the given options:
2 .............> rejected because x should be less than 2
15 ...........> rejected because x should be less than 2
1 ...........> accepted because it is less than 2
4 ...........> rejected because x should be less than 2
Hope this helps :)