solve the inequality for x.\n-2 ≥ -\\frac{1}{5}x + 4\nsimplify your answer as much as possible.
solve the inequality for x.\n-2 ≥ -\\frac{1}{5}x + 4\nsimplify your answer as much as possible.
Answer
Explanation:
Step1: Subtract 4 from both sides
$$ \begin{align*} -2-4&\geq-\frac{1}{5}x + 4-4\ -6&\geq-\frac{1}{5}x \end{align*} $$
Step2: Multiply both sides by -5 (and reverse the inequality sign)
$$ \begin{align*} (-6)\times(-5)&\leq\left(-\frac{1}{5}x\right)\times(-5)\ 30&\leq x \end{align*} $$
Answer:
$x\geq30$