Question

Consider the linear equation 2y - 3x = 5.Are (-1, 1) and (4, 1) solutions to the inequality 2y - 3x < 5? Explain how you know.

Answer 1

For this case we have the following inequality:

2y-3x< 5

And we can solve for y like this:

2y < 3x+5

y < 1/2 (3x+5)

We can replace the points and we can verify:

x=-1 y=1/2*(3*-1 +5) = 1/2(-3+5)= 1 then y is not <1

x=4 y=1/2*(3*4 +5) = 1/2(12+5)= 17/2 then y is not <1