3x - 4y > -6
What about it?
3x - 4y > -6
you want to solve for y ???
-4 y > -6 - 3 x
so
4 y < 6 + 3 x multiply by negative 1, change arrow direction
y < 3/2 + (3/4) x
To solve the inequality 3x - 4y > -6, we want to find the values of x and y that satisfy the inequality.
To begin, let's isolate the term with y by subtracting 3x from both sides of the inequality:
-4y > -6 - 3x
Next, we need to divide both sides of the inequality by -4. However, we have to be careful when dividing by a negative number. Dividing by a negative number flips the direction of the inequality sign. Therefore, we must flip the sign:
(-4y) / -4 < (-6 - 3x) / -4
Simplifying, we get:
y < (3/4)x + 3/2
So, the solution to the inequality 3x - 4y > -6 is any point (x, y) that lies below the line defined by the equation y = (3/4)x + 3/2.