Question

(a) solve $4x - 1 > -25$ and simplify your answer as much as possible.

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( x \), we add 1 to both sides of the inequality \( 4x - 1 > -25 \). This gives us \( 4x - 1 + 1 > -25 + 1 \), which simplifies to \( 4x > -24 \).

Step2: Divide by 4

Next, we divide both sides of the inequality \( 4x > -24 \) by 4 to solve for \( x \). So, \( \frac{4x}{4} > \frac{-24}{4} \), which simplifies to \( x > -6 \).

Answer:

\( x > -6 \)