Question

solve the inequality and graph the solution.
-5m - 5 ≥ 5
plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.
-5 -4 -3 -2 -1 0 1 2 3 4 5
submit

Explanation:

Step1: Add 5 to both sides

To isolate the term with \( m \), we add 5 to both sides of the inequality \(-5m - 5 \geq 5\). This gives us \(-5m - 5 + 5 \geq 5 + 5\), which simplifies to \(-5m \geq 10\).

Step2: Divide by -5 (reverse inequality)

When dividing both sides of an inequality by a negative number, we reverse the inequality sign. So, dividing both sides of \(-5m \geq 10\) by \(-5\) gives \(m \leq -2\).

Answer:

The solution to the inequality is \(m \leq -2\). To graph this, we plot a closed circle at \(-2\) (since the inequality is "less than or equal to") and draw a ray to the left (towards negative infinity) from \(-2\).