Question

solve the inequality and graph the solution.
4 - 2m ≥ 8
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: Subtract 4 from both sides

To isolate the term with \( m \), we subtract 4 from both sides of the inequality \( 4 - 2m \geq 8 \). This gives us \( 4 - 4 - 2m \geq 8 - 4 \), which simplifies to \( -2m \geq 4 \).

Step2: Divide by -2 (and reverse inequality)

When we divide both sides of an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \( -2m \geq 4 \) by -2 gives \( m \leq -2 \).

Answer:

The solution to the inequality \( 4 - 2m \geq 8 \) 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 of \( -2 \) (towards negative infinity).