Question

Which graph shows the solution set for Negative 1.1 x + 6.4 greater-than negative 1.3?
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the left of the circle is shaded.
A number line going from negative 10 to 0. An open circle is at negative 7. Everything to the right of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 7. Everything to the right of the circle is shaded.

Answer 1

Solve: -1.1x + 6.4 > -1.3
Subtract 6.4: -1.1x > -7.7
Divide by -1.1 (flip sign): x < 7

So the graph is the number line 0 to 10 with an open circle at 7 and everything to the left shaded (third option).