Question

current skill
solve and graph the following inequality: $-5\geq -1 - 4x$
inequality:
graph:
number line options

Explanation:

Step1: Add \(1\) to both sides

$$\begin{align*} -5 + 1&\geq-1-4x + 1\\ -4&\geq - 4x \end{align*}$$

Step2: Divide both sides by \(-4\) (and reverse the inequality sign)

$$\begin{align*} \frac{-4}{-4}&\leq\frac{-4x}{-4}\\ 1&\leq x \end{align*}$$

which can be written as \(x\geq1\)

Answer:

Inequality: \(x\geq1\)

For the graph: On a number - line, put a closed circle at \(x = 1\) (because the inequality is \(\geq\)) and shade to the right of \(1\) (since \(x\) is greater than or equal to \(1\))