Question 1052464
"Graph the linear inequality..."



First you need to understand linear equations in two dimensions.  Inequalities are then based on a reference line to the inequality.  Solve for y in terms of x.  The solution will be either above the reference line, or below the reference line, include the reference line, or exclude the reference line.



{{{4x+2y>4}}}
{{{2x+y>2}}}
{{{y>-2x+2}}}
This is a strict inequality, y is GREATER THAN the expression.  The solution region will be ABOVE the line for y=-2x+2, BUT NOT include the reference line.  You show this exclusion on paper or chalkboard or published book using a dotted line to indicate the line referred.