Which number is NOT in the solution set of x + 6 < 14?
A.)3
B.)5.
C.)7.
D.)11

11

Step-by-step explanation: To determine which number is not a solution for the inequality, first begin by substituting in 3 for x.

So we have (3) + 6 < 14.

(3) + 6 is 9 and we can see that 9 < 14.

This means that this is a solution so we need to continue.

Now substitute a 5 in for x.

So we have (5) + 6 < 14.

(5) + 6 is 11 and we can see that 11 < 14.

This means that this is a solution so we need to continue.

Now substitute a 7 in for x.

So we have (7) + 6 < 14.

(7) + 6 is 13 and we can see that 13 < 14.

This means that this is a solution so we need to continue.

Now substitute an 11 in for x.

So we have (11) + 6 < 14.

(11) + 6 is 17 and we can see than 17 < 14.

Notice that the inequality 7 < 14 is not a true statement however because 17 is greater than 14, not smaller. This means that 11 is not a solution.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are