Question

Please help me with an Algebra II Study Guide! I really don't understand this :( I will give a medal and become your fan :D
Which is the solution set to the given inequality?
2x + 6 > 8
A. x E (-infinity, 1]
B. x E (1, infinity)
C. x E [1, infinity)
D. x E (-infinity, 1)

Answer 1

so how would you start to solve it

Answer 2

\({\huge\color{black}{\bigstar}\color{black}{\hspace{2pt}\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}~\color{black}{\hspace{4pt}\bigstar}\color{black}{\bigstar}~\color{black}{\hspace{6pt}\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\hspace{1.5pt}\bigstar}\color{black}{\hspace{1.5pt}\bigstar}}{\hspace-321pt\huge\color{red}{\bigstar}\color{orange}{\hspace{2pt}\bigstar}\color{goldenrod}{\bigstar}\color{yellow}{\bigstar}\color{lightgreen}{\bigstar}\color{green}{\bigstar}\color{turquoise}{\bigstar}~\color{royalblue}{\hspace{4pt}\bigstar}\color{purple}{\bigstar}~\color{#00bfff}{\hspace{6pt}\bigstar}\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\hspace{1.5pt}\bigstar}\color{#11c520}{\hspace{1.5pt}\bigstar}}\\\huge\bf\color{black}W\color{black}E\color{black}{\hspace5ptL}\color{black}{\;C}\color{black}{\;O}\color{black}M\color{black}{\,E~\;}\color{black}{\hspace{4.2pt}T}\color{black}{\:O}~~\color{black}{\hspace{4pt}Open}\color{black}{Study}\hspace-321.8pt{\huge\bf\color{red}W\color{orange}E\color{goldenrod}{\hspace5ptL}\color{yellow}{\;C}\color{lightgreen}{\;O}\color{darkgreen}M\color{turquoise}{\,E~\;}\color{royalblue}{\hspace{4.2pt}T}\color{purple}{\:O}~~\color{#00bfff}{\hspace{4pt}Open}\color{#11c520}{Study}}\\\huge\color{black}{\bigstar}\color{black}{\hspace{2pt}\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}~\color{black}{\hspace{5pt}\bigstar}\color{black}{\bigstar}~\color{black}{\hspace{6pt}\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\bigstar}\color{black}{\hspace1.5pt\bigstar}\color{black}{\hspace{1.5pt}\bigstar\hspace-321.8pt{\huge\color{red}{\bigstar}\color{orange}{\hspace{2pt}\bigstar}\color{goldenrod}{\bigstar}\color{yellow}{\bigstar}\color{lightgreen}{\bigstar}\color{green}{\bigstar}\color{turquoise}{\bigstar}~\color{royalblue}{\hspace{5pt}\bigstar}\color{purple}{\bigstar}~\color{#00bfff}{\hspace{6pt}\bigstar}\color{#00bfff}{\bigstar}\color{#00bfff}{\bigstar}\color{#11c520}{\bigstar}\color{#11c520}{\hspace1.5pt\bigstar}\color{#11c520}{\hspace{1.5pt}\bigstar}}}\\\small\cal Made~by~@sleepyjess\)

Answer 3

This user is definitely not coming back.. lol
Or for sure he doesn't need any help anymore..
:) :D

~TheSmartOne

Answer 4

Some mod must have bumped it accidentally... lol
@Abhisar

Answer 5

@Zarkon

Answer 6

No reason to not solve the problem. I'll donate a medal to anyone who posts a cogent solution. I also sent @Mkspdl a PM stating that we missed @Mkspdl and to return.

Answer 7

She* and I already turned this one in and I didn't get it right, but the teacher doesn't tell us what the correct answer is, so we never learn from our mistakes, but we can still complete it for anyone who gets tripped up on the same question.

Answer 8

And I honestly don't even know how to work out a question like this. It's beyond confusing!!! DO you think you guys can walk me through it? @cambell_st @Directrix @TheSmartOne @sleepyjess

Answer 9

The answer choices are what confuses me :/

Answer 10

Same

Answer 11

simply subtract 6 from both sides

2x > 2

then divide by 2

x > 1

so the value of x has to be larger than 1 and can be any number all the way to infinity

the bracket are a key

\[[~ or~ ] ~indicate ~ \ge ~ or \le\]

\[(~or~) ~ indicate ~ < ~ or ~ > \]

so look at the inequality and decide with type of brackets to use, and it can be a combination

for infinity it is always ( or )

hope it makes sense

Answer 12

Thank you sooo much @campbell_st!!!! Now I get it!