Answer: (7/2, 1/3)
Step-by-step explanation:
Given inequality: 2x - 3y > 5
Let's check all the options
1. (1,-1)
Put x=1 and y=-1 in the given inequality, we get
[tex]2(1)-3(-1)=2+3=5\ngtr5[/tex]
2. (1/2, 1/3)
Put x=[tex]\frac{1}{2}[/tex] and y=[tex]\frac{1}{3}[/tex] in the given inequality, we get
[tex]2(\frac{1}{2})-3(\frac{1}{3})=1-1=0\ngtr5[/tex]
3. (-1/2, 1/3)
Put x=[tex]\frac{-1}{2}[/tex] and y=[tex]\frac{1}{3}[/tex] in the given inequality, we get
[tex]2(\frac{-1}{2})-3(\frac{1}{3})=-1-1=-2\ngtr5[/tex]
4. (7/2, 1/3)
Put x=[tex]\frac{7}{2}[/tex] and y=[tex]\frac{1}{3}[/tex] in the given inequality, we get
[tex]2(\frac{7}{2})-3(\frac{1}{3})=7-1=6>5[/tex]
Thus, (7/2, 1/3) is the point which satisfy the given inequality.
