Question

solve for v. -1(v + 4) < 6

Explanation:

Step1: Distribute the -1

$-1\times v + (-1)\times4 < 6$ simplifies to $-v - 4 < 6$.

Step2: Add 4 to both sides

$-v - 4 + 4 < 6 + 4$ gives $-v < 10$.

Step3: Multiply both sides by -1 (reverse inequality)

When multiplying or dividing an inequality by a negative number, the inequality sign flips. So, $(-1)\times(-v) > (-1)\times10$ which simplifies to $v > -10$.

Answer:

$v > -10$