SOLUTION: Solve the following system of linear inequalities by graphing:
x-2y<4
x<4
Algebra.Com
Question 82579: Solve the following system of linear inequalities by graphing:
x-2y<4
x<4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Solve the first equation for y:
Subtract x from both sides
Divide both sides by -2. Remember multiplying or dividing by a negative flips the inequality sign
Now graph both and
Lets pick a test point (0,0) and test it with
Plug in x=0, y=0
Since this expression is true we shade the entire region containing (0,0) for the inequality . This region is above the line.
Now lets test
Plug in x=0
Since this expression is true we shade the entire region containing (0,0) for the inequality . This is the region to the left of the vertical line.
Notice how these regions overlap. This overlapping region is our final shaded region. Every point in this region satisfies both and
RELATED QUESTIONS
Solve the following system of linear inequalities by graphing
{{{x - 2y >= 4}}}
(answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing.
x-2y>4... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing:
x – 2y >= 4
x <=... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing.
x-2y> 4... (answered by elima)
Solve the following system of linear inequalities by graphing.
x-2y>=4
x<=4... (answered by jim_thompson5910)
solve the following system of linear inequalities by graphing. x-2y<=4,... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing.
x – 2y <= 4
(answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing. x – 2y < 4, x >... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing
x-2y>4
x<4
Please help (answered by checkley75)