Question 947682
5x-3 < or = 5 + 3x < or =4x + 2

5x-3<=5+3x<=4x+2

{{{5x-3<=5+3x<=4x+2}}}



You may already know the properties to use.  That extended inequality is two inequalities
combined with AND.


{{{highlight_green(5x-3<=5+3x)}}}
{{{5x-3x-3<=5}}}
{{{2x-3<=5}}}
{{{2x<=5+3}}}
{{{2x<=8}}}
{{{highlight(x<=4)}}}


AND


{{{highlight_green(5+3x<=4x+2)}}}
{{{4x+2>=5+3x}}}
{{{4x+2-3x>=5}}}
{{{x+2>=5}}}
{{{x>=5-2}}}
{{{highlight(x>=3)}}}



Put both results together.
{{{highlight(highlight(3<=x<=4))}}}