To know while working with inequality equations:
- When multiplying or dividing by a negative, you want to flip the direction of the inequality sign. < becomes >, etc
- When graphing, if it is only less/greater than (< or >) the dot will be open
- When graphing, if it is less/greater than and equal too (≤ or ≥) the dot will be closed
- Then, if the x value is on the left side, the arrow will go in the direction of the inequality sign
[3] Divide both sides by -4, flip the sign
-4x ≥ -36
x ≤ 9
[4] Divide both sides by -0.4, flip the sign, and then I flipped the equation to make it easy to graph
3 > -0.4x
-7.5 < x
x > -7.5
[5] Divide both sides by -2.2, flip the sign
-2.2x ≤ -6.6
x ≥ 3
[6] Multiply both sides by -8, flip the sign
[tex]\frac{x}{-8}[/tex] > 2
x < -16
See attached for the graphs.
