Chapter 2: Q37. (page 86)

Solve $|x + 4| > 3$

Short Answer

Expert verified

The solution of the given inequality is $x \{x| x < - 7 o r x > - 1\}$ .

Step by step solution

Step-1 – Compound inequality

A compound inequality is an equation with two or more inequalities joined together with either “and” or “or”.

Step-2 – Rewrite the given inequality.

$\begin{array}{l} |x + 4| > 3 \\ x + 4 > 3 o r x + 4 < - 3 \end{array},$

Step-3 – Subtract each part of both inequalities by 4.

$\begin{array}{l} x + 4 - 4 > 3 - 4 \\ x > - 1 \end{array}$

$\begin{array}{l} x + 4 - 4 < - 3 - 4 \\ x > - 7 \end{array}$

So, the solution of the given inequality is $x \{x| x < - 7 o r x > - 1\}$ .

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Column A	Column B
The x-coordinate of point Q	The y-coordinate of point P

Solve $|x + 4| > 3$

Short Answer

Step by step solution

Step-1 – Compound inequality

Step-2 – Rewrite the given inequality.

Step-3 – Subtract each part of both inequalities by 4.

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Solve x+4>3

Short Answer

Step by step solution

Step-1 – Compound inequality

Step-2 – Rewrite the given inequality.

Step-3 – Subtract each part of both inequalities by 4.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Decision Maths

Mechanics Maths

Discrete Mathematics

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve $|x + 4| > 3$