Question

solve the inequality for v.
v - 5.6 > -4.9
simplify your answer as much as possible.

Explanation:

Step1: Add 5.6 to both sides

To solve for \( v \) in the inequality \( v - 5.6 > -4.9 \), we add 5.6 to both sides of the inequality. This is based on the addition property of inequalities, which states that if we add the same number to both sides of an inequality, the direction of the inequality remains the same.

$$ v - 5.6 + 5.6 > -4.9 + 5.6 $$

Step2: Simplify both sides

Simplifying the left side, \( v - 5.6 + 5.6 \) simplifies to \( v \). Simplifying the right side, we calculate \( -4.9 + 5.6 \).

$$ v > 0.7 $$

Answer:

\( v > 0.7 \)