We have the following inequality: -x + 8> 6 For this case, the first thing we must do is to clear the value of x: -x> 6-8 -x> -2 Multiplying by -1 both sides we have: x <2 Answer: x <2 option 1
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
