220k views
15 votes
I need help for this assignment.

I need help for this assignment.-example-1
User Sinatra
by
7.1k points

1 Answer

10 votes

Answer: Sure! I'd be happy to help!

The answer would be x<6, so you should choose option C. (Sorry that it took me a while to answer, for I'm doing my homework.)

Hope this was helpful! Scroll down for more information.

Explanation:

So first, you should try and find the common denominator. The denotation for a common denominator is basically a shared feature, or number in this case, shared between 2 or more users.

Second, you combine the terms

Then, you combine the fraction, multiply the numbers, then do the same with the term/s (with the same value; multiplication). Then, you cancel the multiplied term/s that are in the denominator. Lastly, for this step, you multiply the numbers. By this point, you should have x+8<14.

You subtract the '8' number from both sides by changes the addition to subtraction, simplify the expression, and you have your solution (x<6)

From flexbooks.ck12.org, posted August 23, 2023, "if the same number is subtracted from both sides on the inequality then the sense (equality symbol) of the inequality remains unchanged." That should help in case you're confuse over why you would subtract 8 on both sides. I sure was!