Question 134710
The dash under the < means "equal" so the equations say "
(-2x+7) less than or equal to (-1). I'll use <= becuase I can type it
{{{(-2x + 7) <= (-1) }}}
{{{-2x <= -1 - 7}}}
{{{-2x <= -8 }}}  
now here is the tricky part. If you multiply or divide both sides by a negative number, the less than becomes a greater than and vice-vera

{{{2x >= 8 }}}
{{{x >= 4 }}}

Now check your answer. 
set x = 4 and solve {{{-8+7<= -1}}}  {{{-1 <= -1 }}} which it true
now set x to a number > 4, let's use 5
{{{-10 + 7 <= -1 }}}
{{{-3 <= -1}}} which is true