SOLUTION: I have no idea how to even do this problem nor can I find any similiar. Solve the inequality. Write your answer in interval notation and graph the solution set on a number line

Question 975073: I have no idea how to even do this problem nor can I find any similiar.
Solve the inequality. Write your answer in interval notation and graph the solution set on a number line.
9(2x � 4 ) ≥ 5 � 6x

Found 2 solutions by MathLover1, Boreal:
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

=> exact solution
=> approximate solution

interval:
[,)

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
9(2x � 4 ) ≥ 5 � 6x
18x-36>= 5-6x. Distribute
24x>=41, add 6x and 36 to both sides
x>=(41/24)
Check: 9[(82/24)- 96/24) >= 5-(246/24)
9(-14/24) >= (120/24)-(246/24)
(-126/24) >= (-126/24)
Try 0. Should not work
9(-4) >= 5;; -36 is not >=5
Try 2. Should work
9(0)>=5-12
0>= -7 works
Only if one divides or multiplies by a negative number does the inequality change.
On a number line, from +1.71 (with a solid dot) to the right the inequality is valid.
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