Algebra-1

To solve the inequality 4|1 - 2x| + 5 ≤ 25, we can start by isolating the absolute value term.

Subtract 5 from both sides:

4|1 - 2x| ≤ 20

Divide both sides by 4:

|1 - 2x| ≤ 5

For an inequality of the form |A| ≤ B, where A is an expression and B is a positive number, it can be rewritten as a compound inequality: -B ≤ A ≤ B.

In this case, |1 - 2x| ≤ 5 can be written as: -5 ≤ 1 - 2x ≤ 5.

We can break the compound inequality into two separate inequalitie and solve each inequality separately, and then find the intersection of the two solutions.

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