Question

The solution of the inequality |x – 1| < 2 is​

Answer 1

Step-by-step explanation:

Let's just pretend that the inequality symbol is an equal sign. So, we have the equation

x

−

1

=

2

Let's solve this. Add

1

to both sides of the equation. We get

x

=

3

Now, replace the equal sign with an inequality sign.

x

>

3

Solving for an inequality is exactly like solving a normal equation (unless diving by a negative number, then the sign flips). So,

x

is any value from

4

and above.

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