SOLUTION: Solve each of the following systems of linear inequalities graphically 3x-y<=6 x>=1 y<=3

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Question 102927: Solve each of the following systems of linear inequalities graphically
3x-y<=6
x>=1
y<=3
Answer by MathLover1(20849) (Show Source):
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1.
Draw the line or

Then shade the area between x-axis and line to the left starting in the point line.

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

Equation describes a sloping line. For any
equation ax+by+c = 0, slope is .
X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 6/3 = 2.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 6/-1 = -6.
Slope is -3/-1 = 3.
Equation in slope-intercept form: y=3*x+-6.

2. this is a line parallel to y-axis; shade everything to the right starting from

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

this equation defines a vertical line.

X intercept: 1. X intercept is the intersection of the line with the x axis.

Y intercept: not defined (the line IS vertical)

Slope: not defined, can be thought of as infinite

3. this is a line parallel to x-axis; shade everything up starting from

Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc

This equation defines a horizontal line. There is no X intercept. Y intercept is