Question 685710
Step One: solve for y
Multiply the entire inequality by 8 to remove the fraction (LCM of 4 and 2)
{{{8(x/4) + 8(y/2)>8(1)}}}
2x+4y>8
Isolate the y variable
4y > -2x + 8
Divide both sides by 4
{{{y > (-2/4)x + 8/4}}}
{{{highlight_green(y>(-1/2)x+2)}}}  ==> this is the linear equation for the inequality.
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Step Two: intercepts
y intercept
the y intercept is 2
plot (0, 2)
x intercept
the x intercept is where y = 0
0 = (-1/2)x + 2
-2 = (-1/2)x
x = 4
plot (4, 0)
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Step Three: graph the inequality
Since y is greater than, not greater than or equal to, the line must be dashed to NOT include the points on the line. (if it were {{{y>=(-1/2)x+2}}} for example, then the line would be solid)
Shade the area above the line, since y is greater than.
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The solution is any coordinates in the shaded region above the dashed line.
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