Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve the inequality and graph the solution. -1 ≥ \\frac{r}{4} to draw …

Question

solve the inequality and graph the solution.
-1 ≥ \frac{r}{4}
to draw a ray, plot an endpoint and select an arrow. select an endpoint to change it from closed to open. select the middle of the ray to delete it.

Explanation:

Step1: Isolate the variable r

Multiply both sides by 4. Since 4>0, the inequality sign remains the same.
$-1\times4\geq\frac{r}{4}\times4$

Step2: Simplify the expression

$-4\geq r$ or $r\leq - 4$

Answer:

The solution of the inequality is $r\leq - 4$. On the number - line, plot a closed circle at - 4 (because the inequality is $\leq$) and draw an arrow to the left.