Solve a system of linear inequalities without graphing, i.e. using

Brooke Webb

Brooke Webb

Answered question

2022-05-21

Solve a system of linear inequalities without graphing, i.e. using pure algebra?
y 2 x + 1
y > ( x / 2 ) 1

Answer & Explanation

flonsHaroDolalv

flonsHaroDolalv

Beginner2022-05-22Added 8 answers

You can compare the right-hand sides as
2 x + 1 x 2 1
or
x 2 1 2 x + 1
Gael Gardner

Gael Gardner

Beginner2022-05-23Added 4 answers

If 2 x + 1 x 2 1
or x 4 3
we obtain: { ( x , y ) | x 4 3 , y 2 x + 1 } { 4 3 , 5 3 } ..
If 2 x + 1 < x 2 1
or x < 4 3
we obtain: { ( x , y ) | x < 4 3 , y > x 2 1 } .

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