Answer
$(-\infty,-2]$
Work Step by Step
$-4x\geq8$
Solve for x by multiplying each side by -4. When multiplying by a negative number you must reverse the inequality sign
$-4x\div-4\leq8\div-4$
$x\leq-2$
This is expressed in interval notation as
$(-\infty,-2]$
where ] indicates that -2 is included in the solution set for x.