Question

question solve the following inequality for v. write your answer in simplest form. 9v - (6v + 3) ≤ -6v - 8 + 4 answer attempt 1 out of 2 v < submit answer

Explanation:

Step1: 去括号

$9v-(6v + 3)=9v-6v-3 = 3v-3$，原不等式变为$3v-3\leq -6v - 8 + 4$。

Step2: 化简右边式子

$-6v - 8 + 4=-6v-4$，此时不等式为$3v-3\leq -6v-4$。

Step3: 移项

将含$v$的项移到左边，常数项移到右边，得$3v + 6v\leq -4 + 3$。

Step4: 合并同类项

$3v+6v = 9v$，$-4 + 3=-1$，不等式变为$9v\leq -1$。

Step5: 求解$v$

两边同时除以$9$，得$v\leq-\frac{1}{9}$。

Answer:

$v\leq-\frac{1}{9}$