Solve the inequality and express the solution in interval form.

Solution:

For convenience we'll compare an appropriate expression to 0 instead of 1. Then we can find x-values of interest to determine where to shade (i.e. where the inequality is true).

 





















This graph shows our solution another way. Notice that we graph both sides of the inequality. Then we can actually see when the left side is greater...

Solve the inequality, if possible. Write the solution set in interval notation.

How do I solve for, y>4x

When there are two variables the solution is usually expressed as a graph because the solution sets are typically infinite. For example (1,-1), (1,10), (2,1000) are all solutions to y>4x. In fact any ordered pair for which the y coordinate is more than 4 times the x coordinate is a solution. So in general we graph the function (in this case y=4x) and we shade the region(s) where the inequality is true ( in this case above the line withe the line being dashed to show that the boundary is not included)

Solve the inequality and express the solution in interval form.

Solve the inequality and express the solution in interval form.