Solving absolute value inequalities with fractions?

The absolute value function can be used to solve the inequalities involving fractions. For example, the absolute value of a fraction tells you what the maximum possible value that the fraction can have. In the equation

Solving absolute value inequalities with rational numbers?

If you have an absolute value inequality using rational numbers, you can use the rules of exponents to change it to an equivalent inequality with just one fraction For example, if you have the inequality and you know that is greater than one, you can rewrite the inequality as solving which gives you This is an example of solving an absolute value inequality with rational numbers using exponents.

Solving absolute value inequalities with rational numbers and graphing with inequalities?

Try graphing inequalities with rational numbers. For example, the graph below shows a solution to the absolute value inequality with rational inputs. You can also use graphing calculators to graph absolute value inequalities with rational inputs. However, for the absolute value inequalities to be true, the inputs must be in the domain where the inequality makes sense.

Solving absolute value inequalities with rational numbers and graphing?

In this method, you replace each fraction by its absolute value. If the result equals 1, you have an equality. Otherwise, you have an inequality. If you are working with inequalities, you need to graph the solution to see if it satisfies the original inequality.

Solving absolute value inequalities with rational numbers and solving?

If you are working with rational numbers, you will more often than not end up solving inequalities by converting the variables into equivalent fractions. There are two ways to do this: you can convert the fraction to a decimal, or you can convert it to a fraction of a whole number. This will use very different strategies for solving the inequality, and which method is most appropriate for a particular problem will depend on your goal.