Answer:
1. 3x ≤ 9
Divide both sides by 3.
x ≤ 3
Solution Set: x = 3,2,1,...,-∞
In the graph, draw a line from +3 going to the left until the end of the -x line (-10).
2. -c/4 ≤ -2
Multiply both sides to -4 and change the inequality sign.
(-4)-c/4 ≥ -2(-4)
Multiply.
c ≥ 8
Solution set: c = 8,9,10,...,∞
In the graph, draw a line from +8 going to the right until the end of the +x line (+10).
3. 7n + 2 > 51
Subtract both sides by 2.
7n + 2 - 2 > 51 - 2
7n > 49
Divide both sides by 7.
n > 7
Solution set: n = 8,9,10,...,∞
In the graph, draw a line from +8 going to the right until the end of the +x line (+10).
4. 9t + 18 < -27
Subtract both sides by 18.
9t + 18 - 18 < -27-18
9t < 45
Divide both sides by 9.
t < 5
Solution Set : t = 4,3,2,...,-∞
In the graph, draw a line from +4 going to the left until the end of the -x line (-10).
Hope this helps. ^^
