4>1/3j

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

or

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:

4/(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.

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