Help with my algebra homework?

Question

the question says "check whether the given number is a solution of the inequality 5+s>8;4"

so i dont get the question and i was hoping someone can write out how to do the problem for me. there are about 20 questions like that on my homework page.

thanks so much.

Answer 1

Basically it's asking if 4 is the answer to 5+s>8, 4 being the s.

To do this, first you need to:

5+s>8

-5    -5 subtract 5 on each side.

s>8-5 subtract 5 from 8.

s>3 And with the given 'answer,' plug it in like:

is 4>3 ?

If 4 is great than 3, which it is, (:

then yes, 4 is a solution of that inequality. (:

Answer 2

ok so the 4 you have to plug into the variable so:

5+ 4> 8

5+4= 9

9> 8

4 is a solution because 9 is greater than 8

Answer 3

Yes, you are checking if 4 is a solution to the inequality. Substitute it back into the inequality and if it makes the inequality true, then it is indeed a solution:

5 + s > 8

5 + 4 > 8

9 > 8

This is true, as 9 is greater than 8, so 4 is a solution. <===ANSWER