SOLUTION: Solve the following system of linear inequalities by graphing. x + 2y _< 3 2x &#8211; 3y _< 6 The lines are supposed to be under the

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Question 105051: Solve the following system of linear inequalities by graphing.
x + 2y _< 3
2x – 3y _< 6
The lines are supposed to be under the < There is supposed to be a "shaded" area in the graph somewhere and I do not understand the "shading" part.
Answer by scott8148(5891) (Show Source):
You can put this solution on YOUR website!
when the two inequalities are graphed; the lines will cross, dividing the graph into four sections

two of the sections will satisfy one of the inequalities; and two of the sections will satisfy the other inequality

the section that satisfies BOTH inequalities gets shaded

to test if an inequality is satisfied; pick a point in a section of the graph and see if it works in the inequality

SOLUTION: Solve the following system of linear inequalities by graphing. x + 2y _< 3 2x &#8211; 3y _< 6 The lines are supposed to be under the < There is supposed to be a "shaded" are

SOLUTION: Solve the following system of linear inequalities by graphing. x + 2y _< 3 2x – 3y _< 6 The lines are supposed to be under the < There is supposed to be a "shaded" are