   Chapter 4.CM, Problem 45CM

Chapter
Section
Textbook Problem

For problems 43-56, solve the inequality and express the solution in interval notation. | 4 x + 3 | < 15

To determine

To Solve:

The inequality and express 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 |4x+3|<15.

Write the given inequalities as two inequalities.

(4x+3)<15 (1)

And,

(4x+3)<15 (2)

Simply equation (1).

4x+3<154x<153x<124x<3

An inequality x<3 is given by x(,3)

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