Question

How do you solve the system of inequalities `y< 3x - 5` and `y > - 4x - 7`?

Answer 1

See shaded region of the graph

Explanation:

When you graph an inequality, first use graphing of line techniques by putting the equations in `y = mx + b` form, where `m = "slope "= (Delta x)/(Delta y) " and the " y"-intercept is " (0, b)`

Place a point at the `y`-intercept `(0, b)` and use the slope to find at least one other point.

Since both equations do not have an `=` sign, dash the lines instead of making them solid.

Shade the region that is the intersection of the two signs:

above and to the right of `y = 4x - 7` and below and to the right of `y = 3x -5`: