Question

Which graph shows the solution set for Negative 4.4 greater-than-or-equal-to 1.6 x minus 3.6?
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the left of the circle is shaded.
A number line going from negative 3 to positive 3. A closed circle is at negative 0.5. Everything to the right of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the left of the circle is shaded.
A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

Answer 1

Solve: -4.4 ≥ 1.6x - 3.6
Add 3.6: -0.8 ≥ 1.6x
Divide by 1.6: -0.5 ≥ x, i.e. x ≤ -0.5.

So the correct graph is the number line from -3 to 3 with a closed circle at -0.5 and shading to the left (the first option).