Question

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

Explanation:

Step1: Add \(1\) to both sides

$$-5 + 1\geq-1-4x + 1$$
$$-4\geq - 4x$$

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

$$\frac{-4}{-4}\leq\frac{-4x}{-4}$$
$$1\leq x$$
Which is equivalent to \(x\geq1\)

For graphing on a number line:

• Place a closed - circle (since the inequality is \(\geq\)) at \(x = 1\)
• Shade to the right of \(1\) (because \(x\) is greater than or equal to \(1\))

Answer:

The solution of the inequality \(-5\geq - 1-4x\) is \(x\geq1\). On the number - line, we put a closed - circle at \(1\) and shade to the right of \(1\).