Which is a graph of the solution set of the inequality 3x  4y ≤ 24?
To graph 3x  4y ≤ 24:
 first graph the boundary line, which is the graph of the equation 3x  4y = 24, by getting it into slopeintercept form y = mx + b 3x  4y = 24 4y = 3x + 24 {subtracted 3x from each side} y = (3/4)x  6 {divided each side by 4} slope is 3/4 yintercept is 6 To graph the line y = (3/4)x  6  put a point on 6 on the yaxis {the yintercept}  from there, move up 3 and to the right 4 and put another point {using the slope}  draw a solid line through the two points, since it is a ≤ sign in the original inequality
Change 3x  4y ≤ 24 to "slopeintercept form" to determine which direction the shading goes.
3x  4y ≤ 24 4y ≤ 3x + 24 {subtracted 3x from each side} y ≥ (3/4)x  6 {divided each side by 4 and changed the inequality sign since dividing by a negative} Since the inequality sign is ≥, within slopeintercept form, then shade above the boundary line. Comments are closed.

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