## Trigonometry (11th Edition) Clone

$[-4,\infty)$
Step 1: $-2x+8\leq16$ Step 2: Subtracting $8$ from both sides, $-2x+8-8\leq16-8$ Step 3: $-2x\leq8$ Step 4: Dividing both sides by -2 (this reverses the direction of the inequality symbol): $\frac{-2x}{-2} \geq \frac{8}{-2}$ Step 5: $x\geq-4$ According to the inequality, the interval includes $-4$ and all values greater than $-4$. Since $-4$ is part of the interval, a square bracket is used on its side. On the other hand, $\infty$ does not represent an actual number. Rather it is used to show that the interval includes all real numbers greater than -4. Therefore, a parenthesis is used on its side. Therefore, the interval notation for this inequality is written as $[-4,\infty)$.