Describe how absolute value equations and inequalities are like linear equations and inequalities and how they differ.

Absolute value equations and inequalities are different because absolute has the two big lines outside the numbers while linear equations are forms like y=mx+b , How they are the same is you can graph them :3

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AFOKE88 AFOKE88 · Answer 2 · 2021-10-14T10:28:23-04:00

The differences and similarities between absolute value and linear equations and inequalities are described below.

1) Absolute value equation of a number is simply the distance of that number from zero.

This implies that absolute values are always positive. This is because they always adopt the positive values that are inside the absolute value sign. Thus, we can say that they have a range which is a set of all positive numbers including 0.

In contrast, linear equations define values that can be both negative, positive and even zero. This means linear equations define all values.

Another difference is that the graph of an absolute value function is V in shape whereas that of a linear function is a straight line.

2) The similarities between absolute value inequalities and linear inequalities is that they both have two variables and thus must require a second equation to find the variables.

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