Question

graph $-2-10xgeq -2(x - 3)$

Explanation:

Step1: Expand the right side

$$-2 - 10x\geq - 2x + 6$$

Step2: Move variables to one side

$$-10x + 2x\geq6 + 2$$

Step3: Simplify

$$-8x\geq8$$

Step4: Solve for \(x\)

Divide both sides by \(-8\), and reverse the inequality sign.
$$x\leq - 1$$

Answer:

The solution of the inequality is \(x\leq - 1\). To graph it, draw a number line, put a closed circle at \(-1\) (because the inequality includes equality, \(\geq\) after manipulation gives \(\leq\)) and shade to the left of \(-1\).