Algebra-2

To solve the equation |4x - 1| = 7, we will break it down into two cases based on the properties of absolute value.

Step 1: Set Up Cases for Absolute Value

The equation |4x - 1| = 7 gives us two cases to consider:

1.Case 1:

4x - 1 = 7

 

2.Case 2:

4x - 1 = -7

 

Step 2: Solve Each Case

For Case 1:

4x - 1 = 7

Add 1 to both sides:

4x = 7 + 1

4x = 8

Now, divide by 4:

x = 2

 

For Case 2:

4x - 1 = -7

Add 1 to both sides:

4x = -7 + 1

4x = -6

Now, divide by 4:

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