How to solve absolute value inequalities with negatives?

A common type of absolute value inequality arises when you are trying to find the difference between two sides of a line, which can be written as the absolute value of two numbers. For example, if you have two numbers that represent the lengths of two sides of a rectangle, you can use absolute value inequalities to find the length of the remaining side.

How to solve absolute value inequalities with negatives and positive?

If two absolute value inequalities have opposite signs, then they can be added together algebraically, or subtracted from one another. So, if you have two absolute value inequalities, each of which has a positive coefficient, you can add or subtract them together to get an equation with one absolute value inequality. However, if you have one absolute value inequality with a negative coefficient and one with a positive coefficient, you cannot algebraically add or subtract them together. Instead, you must solve each inequality separately, adding

How to solve absolute value inequalities with negatives and absolute value terms?

Sometimes you will end up solving an absolute value inequality with a negative value term. This can be especially confusing. In these cases, you can use the absolute value inequality calculator for negative numbers and solve the equation by plugging the absolute value of the term that is negative into the calculator. This method is especially helpful when you have a negative number multiplied by a fraction. The calculator will automatically convert the fraction to an equivalent fraction with the opposite sign.

Solving absolute value inequalities with negatives and absolute value?

If you have an absolute value inequality with a negative sign, write it as a two-sided inequality. Of course, multiplying both sides of an inequality by -1 will flip the sign. So, if you have an absolute value inequality that says A ≤ B, simply write it as A ≥ -B.

How to solve absolute value inequalities with negatives and absolute value signs?

You can combine the absolute value signs with the variables in the inequality to create two equations that represent the sides of the original absolute value inequality. If one of these equations is true, then the original inequality is true as well. You can use the properties of the absolute value function on the other equation to solve it.