   Chapter 4.CM, Problem 46CM

Chapter
Section
Textbook Problem

For problems 43-56, solve the inequality and express the solution in interval notation. | 2 x + 6 | ≥ 20 .

To determine

To Find:

The inequality and express the solution in interval notation.

Explanation

Procedure used:

The values of |x| takes value depending on the sign of x.

When, x<0,

|x|=x

When, x0,

|x|=x

The way of representing a set of numbers satisfying an inequality axb in terms of interval is given by x[a,b].

An inequality xc is given by x[c,).

An inequality x<d is given by x(,d).

Calculation:

The given inequality problem is |2x+6|20.

Write the given inequalities as two inequalities.

(2x+6)20(1)

And,

(2x+6)20&#

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