Which number(s) below belong to the solution set of the inequality? check all that apply.

x + 16 > 51

Hello mate!

Here we want to see which numbers are a solution for our inequality, and let's find them all.

the inequality is:

x + 16 > 51

first, if we add o subtract the same number on both sides of the inequality, the inequality remains the same, then i can subtract 16 on both sides:

x + 16 - 16 > 51 - 16

x > 35

then the numbers that are a solution to this inequality are all of those that are smaller than 35.

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for