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?

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?

Tutors, please sign in to answer this question.

Dallas, TX

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.

Argyle, NY

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.

Christopher A.

Tutor Expert in ACT, SAT, Math, Writing, Excel, Study Skills and More

Far Rockaway, NY

5.0
(611 ratings)

Steven M.

Premium Test Prep and Subject Tutor - New York City UWS

New York, NY

5.0
(257 ratings)

Jennifer C.

Experienced Educator Specializing in Test Prep and Enrichment

Brooklyn, NY

5.0
(74 ratings)

- Algebra 2 3295
- Algebra 4917
- Math 9377
- Prealgebra 167
- Algebra Help 952
- Geometry 1813
- Algebra Word Problem 2413
- Math Help 5199
- Word Problem 4946
- Precalculus 1481