Question

1. $5x - 4 > 6$

Explanation:

Step1: Add 4 to both sides

To isolate the term with \( x \), we add 4 to both sides of the inequality \( 5x - 4 > 6 \). This gives us \( 5x - 4 + 4 > 6 + 4 \), which simplifies to \( 5x > 10 \).

Step2: Divide by 5

Next, we divide both sides of the inequality \( 5x > 10 \) by 5 to solve for \( x \). So, \( \frac{5x}{5} > \frac{10}{5} \), which simplifies to \( x > 2 \).

Answer:

The solution to the inequality \( 5x - 4 > 6 \) is \( x > 2 \). On the number line, this is represented by an open circle at 2 and an arrow pointing to the right (towards values greater than 2).