Question 307180
<pre><font size = 3><b>
{{{7 > -4x+6}}}{{{OR}}}{{{8 <=-4x+3}}}

Add 4x-7 to both sides of the first inequality
Add 4x-8 to both sides of the second inequality:

{{{4x > -1}}}{{{OR}}}{{{4x <=-5}}}

Divide both sides of both inequalities by 4

{{{x > -1/4}}}{{{OR}}}{{{x <=-5/4}}}

{{{x > -0.25}}}{{{OR}}}{{{x <=-1.25}}}


Graph the first inequality. We use an open circle, o, for {{{""<""}}} 

 ----------------------------o=======================>
-3         -2  -1.25 -1  -0.25  0         1         2

Graph the second inequality.  We use a closed circle, @, for {{{""<=""}}} 


<===================@---------------------------------
 -3         -2  -1.25 -1  -0.25  0         1         2


Since the word between the inequalities is "OR", we take their 
UNION:

<===================@---------o=======================>
 -3         -2  -1.25 -1  -0.25  0         1         2

The abbreviation for this graph is called "interval notation":

  ({{{-infinity}}},-1.25] U (-0.25, {{{infinity}}})

Note that the bracket ] stands for a closed circle @ and a (\
stands for an open circle o.

Edwin</pre>