20. Your friend says the absolute value equation |2x + 9 + 7 = 3 has two solutions
because the constant on the right side of the equation is positive. Is your friend
correct? Explain.

Respuesta :

This is an absolute value problem. In mathematics, absolute value is simply defined as the distance of a number from zero on the number line, irrespective of the direction on either side of zero.

In the absolute value given which is; |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

  • Thus, the friend is not correct.

We are given the equation;

|2x + 9| + 7 = 3

Now when dealing with absolute values, it means that the solution is either positive or negative.

For example;

|x| = 5 means that x = +5 or -5

Thus in this question, let us first of all simplify the equation to get;

|2x + 9| = 3 - 7

|2x + 9| = -4

From |2x + 9| = -4, we can see that there is an absolute value when the right hand side is negative and not when it is only positive.

Thus, the friend is not correct.

Read more here; brainly.com/question/12928519