SOLUTION: for this point (0,3) which of these inequalities is a solution
y>-1,2x+y < 10, y <= 3/2x+3
Algebra.Com
Question 878971: for this point (0,3) which of these inequalities is a solution
y>-1,2x+y < 10, y <= 3/2x+3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's check all 3 inequalities
The point (0,3) means x = 0, y = 3
-------------------------------------------------------
Checking y > -1
y > -1
3 > -1 ... plug in y = 3
The last inequality is true.
So (0,3) is a solution to y > -1
-------------------------------------------------------
Checking 2x+y < 10
2x+y < 10
2(0)+3 < 10 ... plug in x = 0, y = 3
0 + 3 < 10
3 < 10
The last inequality is true.
So (0,3) is a solution to 2x+y < 10
-------------------------------------------------------
Checking y <= 3/2x+3
y <= 3/2x+3
3 <= (3/2)(0)+3
3 <= 0 + 3
3 <= 3
The last inequality is true.
So (0,3) is a solution to y <= 3/2x+3
=======================================================
Since each inequality is true when x = 0 & y = 3, the point (0,3) is a solution to all three inequalities.
RELATED QUESTIONS
For each point(0,0), (5,0),(0,-4),(0,3),(-4,-2) which of these inequalities is a... (answered by Fombitz)
Can you tell me which inequality is a solution for the point (0,-4)
y<-3/2x+3... (answered by Edwin McCravy)
For the point listed below,show the inequality(s)for which it is a solution.... (answered by rothauserc)
Need help.Can you tell me which inequality is a solution for the point (-4,-2)... (answered by Fombitz)
A system of linear inequalities is below .
y<2x-1
y>x-1
Which point is not a... (answered by ikleyn)
y<=1/2x+3
y>=3/2x-1
for the system of inequalities above, which of the following... (answered by Fombitz)
Which point is not a solution to the system of inequalities?
y > x – 5
y ≤ –x + 3
(answered by robertb)
What point is a solution to the system of inequalities y>4x and y>-2x-3?... (answered by stanbon)
Which point is not in the solution set of y (answered by Fombitz)