Question

Max correctly solved this inequality.

StartFraction a over negative 5 EndFraction greater-than-or-equal-to 10. a less-than-or-equal-to negative 50.

Which graph matches the inequality?
A number line going from negative 55 to negative 45. An open circle is at negative 50. Everything to the left of the line is shaded.
A number line going from negative 55 to negative 45. A closed circle is at negative 50. Everything to the left of the line is shaded.
A number line going from negative 55 to negative 45. An open circle is at negative 50. Everything to the right of the line is shaded.
A number line going from negative 55 to negative 45. A closed circle is at negative 50. Everything to the right of the line is shaded.

Answer 1

Solve a/(-5) ≥ 10. Multiply both sides by -5 (flip the inequality because you multiply by a negative):

a ≤ 10·(−5) = −50.

So a is less than or equal to −50: closed dot at −50 and shade to the left. That matches the second graph.