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Step-4

Title: Module of the variable

Grade: 8-a Lesson: S2-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Solve the equation \$ \| x - 1\| = 2 \$
2	Formula:	By using formula	\$ \| x \| = a\$
3	Hint	By removing mod we get (+) (or) (-)	\$x = a (or) x = - a\$
4	Step	Here 'a' is '2'	\$x - 1 = 2 (or) x - 1 = - 2\$
5	Step	Adding "+ 1" on both sides we get	\$ x - \cancel1 + \cancel1 = 2 + 1 (or) x - \cancel1 + \cancel1 = - 2 + 1 \$
6	Step	After cancellation we get	\$x = 3 (or) x = - 1\$
7		Answer	C

Step

Type

Explanation

Answer

Problem

Solve the equation
\$ | x - 1| = 2 \$

Formula:

By using formula

\$ | x | = a\$

Hint

By removing mod we get (+) (or) (-)

\$x = a (or) x = - a\$

Step

Here 'a' is '2'

\$x - 1 = 2 (or) x - 1 = - 2\$

Step

Adding "+ 1" on both sides we get

\$ x - \cancel1 + \cancel1 = 2 + 1 (or) x - \cancel1 + \cancel1 = - 2 + 1 \$

Step

After cancellation we get

\$x = 3 (or) x = - 1\$

Answer