Solve for y.
Add 2x to both sides of the inequality.
Divide each term by -2 and simplify.
Divide each term in -2y>-8+2x by -2. When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Cancel the common factor of -2.
Cancel the common factor.
Divide y by 1.
Simplify each term.
Divide -8 by -2.
Cancel the common factor of 2 and -2.
Factor 2 out of 2x.
Move the negative one from the denominator of x-1.
Rewrite -1⋅x as -x.
Find the slope and the y-intercept for the boundary line.
Rewrite in slope-intercept form.
The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
Reorder 4 and -x.
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b.
The slope of the line is the value of m, and the y-intercept is the value of b.
Graph a dashed line, then shade the area below the boundary line since y is less than 4-x.