solve the inequality..
-35 < 6x + 7 < 1
First solve $\displaystyle -35 < 6x + 7$ then solve $\displaystyle 6x + 7 < 1$
Your answer is between those 2 answers
$\displaystyle -35 = 6x + 7$
$\displaystyle -42 = 6x$
$\displaystyle -7 = x$
so everything between -7 (-7 not included) and infinity is a possible answer
$\displaystyle 6x + 7 = 1$
$\displaystyle 6x = -6$
$\displaystyle x = -1$
so everything between -1 and - infinity is a possible answer here
making the final answer between -7 and -1 (both not included)... (I totally forgot how to put this mathematically )
Edit: something like this... [-7,-1](I think? )
solve the inequality..
$\displaystyle -35 < 6x + 7 < 1$
isolate the varible in the middle
$\displaystyle -42 < 6x< -6$
divide each term by 6
$\displaystyle -7 < x < -1$
the solution set is $\displaystyle [-7,-1]$
if we try to divide each term by a variable it won't work because we do not know the sign.
i followed an example out of text book which was a similiar problem
we both have the same answers
consider multiple replies to the same post a good thing...