Answer:
x>=-8 and a colored in point on negative eight with an arrow to the right
Step-by-step explanation:
-7x<=56 is the given
to solve, we would divide both sides by -7. However, when dividing an inequality, the direction of the inequality sign flips (if you've heard the alligator example, the mouth opens in the opposite direction it was before)
so we know have x>=-8
On the number line, the colored in dot represents that the value it is on is within the set, and since this can also be equal to -8 we have to use a colored in dot because its within the possible values. If it was not <= or >= then we would use an open circle to represent it cannot be that value but can be anything in the direction the arrow is pointing.
The arrow would point to the right because x can be larger or greater than -8 as well
