Question 299903
<pre><font size = 4 color = "indigo"><b>

4>-5x+3 or 10<=-4x+5

Solve the first one:

{{{4>-5x+3}}}
{{{5x>-1}}}
{{{x>-1/5}}}

<-------------------------------o==========================o===============>
-2               -1           -1/5  0                 1                  2


Solve the second one:

{{{10<=-4x+5}}}
{{{4x<=5}}}
{{{x<=5/4}}}

<==========================================================@--------------->
-2               -1           -1/5  0                 1   5/4             2


We put those graphs one under the other, with numbers lined up


<-------------------------------o============================================>
-2               -1           -1/5  0                 1                   2

<==========================================================@----------------->
-2               -1                 0                 1   5/4            2

Every real number is on the upper graph or the lower graph, and
since the word between the inequalities is OR, the solution is
"all real numbers", 

<===========================================================================>
-2               -1                 0                 1                   2

In interval notation, that is ({{{-infinity}}}, {{{infinity}}})


Choice b.

Edwin</pre>