Need help? Algebra 2?

To change a graph into the inequality, write

the left-hand value first 

then either a "<" sign (if the left-hand endpoint circle is open) or a "<=" sign (if the left-hand endpoint circle is filled in)

then an "x"

finally either a "<" sign (if the right-hand endpoint circle is open) or a "<=" sign (if the right-hand endpoint is filled in).

Thus, the answer is C)

Hi Chilledz3non,

 

x is between -3 and 4

 

x can be -2,-1,0,1,2,3, and even 4 because the 4 dot is coloured in.   It cannot be bigger than 4 so     \(x\le4\)

x cannot be  -3 because the -3 dot is Not coloured in, but it can be any number bigger than -3 (up to 4)

\(x>-3\\ \mbox{turn this around and you get }-3<x\\~\\so\\ -3<x\le4\)

 

SO   C is correct.

If you take 2 off all 'sides' you get        \(-3-2<x-2\le4-2\\ -5<x-2\le2\)

 

Ths would also be true but it is not one of your choices.

 

When x is between 2 values you ALWAYS use the   \(< or \le \;\;\;signs\)