# algebra

posted by .

how do I break this down?

4x-7 <-4
over
6

the 4x-7 is all over 6 (like a fraction) I thought I just multiply by 6 to get rid of the fraction?

• algebra -

Yes, your first step is correct. It leaves you with
4x - 7 < -24
Then add 7 to both sides.
Then divide both sides by 4.
4x < -17.
x < -17/4

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The text passage contains a mathematical question and an answer to that question. The question is about solving an inequality: (4x-7)/6 < -4. The answer provided is: x < -17/4. Here is the analysis:
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# algebra

posted by .

how do I break this down?

4x-7 <-4
over
6

the 4x-7 is all over 6 (like a fraction) I thought I just multiply by 6 to get rid of the fraction?

• algebra -

Yes, your first step is correct. It leaves you with
4x - 7 < -24
Then add 7 to both sides.
Then divide both sides by 4.
4x < -17.
x < -17/4

## Similar Questions

1. ### Math

how do i solve this: a over b divided by 11 over c = d over 6 I have to find out whaat the letters stand for --------------------------------------- questain for top: Give values a,b,c and d; to create your own division problom --------------------------------------- …
2. ### math,help

I have forgotton how to change a decimal into a fraction can you please give me the formula. for example for: -2.75 You just have to move the decimal two places to the right and put it over 100. If you multiply a number by some factor …

Ok it is 3b-6 over (like a fraction) 2b+3 = 9 over (like a fraction) 4 help!
4. ### Math

simplify! r^2s^5t^4 over (like a fraction) r^2s^2t^5 A. S^3 over t^2 B. S^3 over t C. S^2 over t^3 D. S over t ** a letter with -- ^ means to that power** thank you!
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simplify 8g^7h^-3 over (like a fraction) 2g^4h^8 a. g³ over 4h^5 b. 4g³ over h^11 c. 4g³h^5 d. 4h^11 over g³ thank you for your help!
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Which expression is equivalent to 32 ⋅ 3−5?
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user
The text passage contains a mathematical question and an answer to that question. The question is about solving an inequality: (4x-7)/6 < -4. The answer provided is: x < -17/4. Here is the analysis:

TYPE: SINGLE_QUESTION_WITH_ANSWER