Solve the inequality and graph the solution. 4z-12geqslant -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.

To solve the inequality $4z-12\geqslant -4$, we need to isolate the variable $z$.<br /><br />Step 1: Add 12 to both sides of the inequality:<br />$4z-12+12\geqslant -4+12$<br />$4z\geqslant 8$<br /><br />Step 2: Divide both sides of the inequality by 4:<br />$\frac{4z}{4}\geqslant \frac{8}{4}$<br />$z\geqslant 2$<br /><br />The solution to the inequality is $z\geqslant 2$.<br /><br />To graph the solution, we plot a closed endpoint at $z=2$ and draw a ray extending to the right, indicating that all values greater than or equal to 2 are included in the solution set.