1 Answer

Eduard · Answer 1 · 2023-05-19T01:20:07+0000

We are given the following inequality

$14\le2-4v$

We are asked to solve this inequality for v.

Our goal is to separate the variable v.

Step 1:

Subtract 2 from both sides of the inequality

$\begin{gathered} 14-2\le2-2-4v \\ 12\le-4v \end{gathered}$

Step 2:

Divide both sides of the inequality by 4

$\begin{gathered} (12)/(4)\le-(4v)/(4) \\ 3\le-v \end{gathered}$

Step 3:

Multiply both sides of the inequality by -1 (the inequality sign will be reversed)

$\begin{gathered} 3(-1)\le-v(-1) \\ -3\ge v \end{gathered}$

Step 4:

Finally, shift the variables (the inequality sign will be reversed)

$\begin{gathered} -3\ge v \\ v\le-3 \end{gathered}$

Therefore, the solution of the inequality is

$v\le-3$

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