Question

Which graph shows the solution set for Negative five-halves x minus 3 less-than-or-equal-to 2?
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded.

Answer 1

Solve: (-5/2)x − 3 ≤ 2
Add 3: (-5/2)x ≤ 5
Divide by (-5/2) (flip inequality): x ≥ −2

So the graph is: closed circle at −2 and everything to the right shaded (the fourth option).