Question

solve for m.
40 ≥ 8 + m
write the solution as an inequality (for example, m > 9).
graph the solution.
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.
30 32 34 36 38 40 42 44 46 48 50
submit
work it out

Explanation:

Step1: Subtract 8 from both sides

To solve the inequality \( 40 \geq 8 + m \), we subtract 8 from both sides. This gives \( 40 - 8 \geq 8 + m - 8 \).

Step2: Simplify both sides

Simplifying the left side: \( 40 - 8 = 32 \). Simplifying the right side: \( 8 + m - 8 = m \). So the inequality becomes \( m \leq 32 \).

Answer:

\( m \leq 32 \)

For graphing: The endpoint is at 32 (closed circle because the inequality is "less than or equal to"), and the ray extends to the left (towards decreasing values of \( m \)) from 32.