Question

Solve the inequality for x and identify the graph of its solution.

|x+1|>2

Choose the answer that gives both the correct solution and the correct graph.

Answer 1

Answer:

D

Step-by-step explanation:

|x+1|>2

-2>x+1>2

-3>x>1

Answer 2

Option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

What is a solution of an inequality?

Solution of an inequality is a value that makes the inequality true.

According to the given question

We have an inequality |x + 1|>2.

The solution set of the above inequality is given by

$|x + 1| > 2$

⇒ $-2 > x+1 > 2$

⇒ $-2-1 > x > 2-1$

⇒ $-3 > x > 1$

⇒ $x < -3$ or $x < 1$

Hence, option D is correct that is the solution of the inequality |x+1|>2 is  x<-3 or x<1.

Learn more about inequality here:

https://brainly.com/question/20383699

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