Write the absolute value equations in the form (x – b |=c (where b is a number and c
can be either a number or an expression) that has the following solution set.

all numbers such that x>-1.3



Respuesta :

The absolute value equation is:

|x + 1.3| = x  + 1.3

Working with absolute value equations:

The absolute value equation that we have is:

|x - b| = c

And we want that the solution set is all the numbers larger than -1.3

Now, remember that:

| something|  ≥ 0.

So the absolute value is always equal or larger than zero.

So, for example, the equation:

|x| = x

Only is true if x ≥ 0, because if x is smaller than zero, for example x = -2, we would have:

|-2| = -2

2 = -2

Which is false.

Now we want to have solutions larger than -1.3 instead of larger than zero, so we can write:

|x  + 1.3| = x + 1.3

The solution of this equation is the given set.

If you want to learn more about absolute values, you can read:

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