Question

Sora correctly solved this inequality.

Negative 2.1 w greater-than 12.81. w less-than negative 6.1.

Which graph matches the inequality?
A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the right of the circle is shaded.
A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the left of the circle is shaded.
A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded.
A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the right of the circle is shaded.

Answer 1

Solve: -2.1w > 12.81. Divide both sides by -2.1 — because you divide by a negative, flip the inequality:
w < 12.81/(-2.1) = -6.1.

So w is less than -6.1: open circle at -6.1 and shade everything to the left. That matches the third option.