Express the fact that x differs from 2 by more

Maria Huey

Maria Huey

Answered question

2021-12-09

Express the fact that x differs from 2 by more than 3 as an inequality involving an absolute value. Solve for x.

Answer & Explanation

stomachdm

stomachdm

Beginner2021-12-10Added 33 answers

Step 1
An inequality is an 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.
Step 2
We have, x differs from 2 by more than 3.
Therefore,
|x-2|>3
As we know that, for an inequality,
|a|>ba>b and a<b
Now,
x-2<-3 and x-2>3
x<-3+2 and x>3+2
x<-1 and x>5
Hence, solution for x is x(,1)(5,).

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