Answer:
see attached
Explanation:
The boundary lines are graphed in the usual way. If "or equal to" is not included in the inequality symbol, the line is graphed as a dashed line.
The relationship between the inequality symbol and a variable with a positive coefficient tells you where the shading is.
x > ( ) . . . . shading is to the right of the (dashed) boundary line, where x-values are larger than those on the boundary
y ≥ ( ) . . . . shading is above the (solid) boundary line, where y-values are larger than those on the boundary
y < ( ) . . . . shading is below the (dashed) boundary line, where y-values are less than those on the boundary
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x = 4
This (dashed) boundary line is a vertical line where x=4.
y ≥ -3x +4
This (solid) boundary line has a slope of -3 and a y-intercept of 4. Starting at the y-intercept (0, 4), you can go left 1 and up 3 to (-1, 7) for another point on the line.
y < 3x -3
This (dashed) boundary line has a slope of 3 and a y-intercept of -3. Starting at the y-intercept (0, -3), you can go right 1 and up 3 to (1, 0) for another point on the line.
solution
The solution space is the triple-shaded space to the right of x=4 in the right quadrant of the X where the other lines cross. It has a dashed upper boundary, and a solid lower boundary.
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A graphing calculator can be a convenient aid to drawing the graph.