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I started out like this
j divided by 1/3 and 4 divided by 1/3 equal j<1.33333...
I'm not sure if this is the correct way to solve this problem?

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Jonathan G. | A Tutor for the Upcoming Exam SeasonA Tutor for the Upcoming Exam Season
Note that your inequality
4 > (1/3) j
is equivalent to
(1/3) j <4
(Do you see why?)
If we multiply both sides of the inequality by 3, then we get
3*(1/3) j < 3*4
j < 12
Note that if we had multiplied or divided by a negative, then we would have to flip the inequality sign.
In regard to your solution.  The idea was correct, namely divide both sides by 1/3.  The problem occurred when you divided 4 by 1/3:
Since 4=4/1, we can rewrite the above as
(4/1) / (1/3).
To divide fractions, we flip the denominator and multiply:
4/1 * 3/1 = 12/1 = 12,
the desired result.
Joseph M. | I was told by a Principal I was a natural teacher, "born to teach."I was told by a Principal I was a natura...
5.0 5.0 (20 lesson ratings) (20)
4>1/3    multiply each side by 3.   Now we have 12>3 .  Now divide both sides by 12 and we have that 1>3/12 which gives  1> 0.25   Simple not fooling around with the 1/3.