How do you solve 2( 4k + 6) < - 44?

Mar 18, 2018

$k < - 7$

Explanation:

$\text{distribute parenthesis on left side}$

$8 k + 12 < - 44$

$\text{subtract 12 from both sides}$

$8 k \cancel{+ 12} \cancel{- 12} < - 44 - 12$

$\Rightarrow 8 k < - 56$

$\text{divide both sides by 8}$

$\frac{\cancel{8} k}{\cancel{8}} < \frac{- 56}{8}$

$\Rightarrow k < - 7 \text{ is the solution}$

Mar 18, 2018

$k < - 7$
Refer to the explanation.

Explanation:

$2 \left(4 k + 6\right) < - 44$
Dividing both sides by 2,
$\frac{\cancel{2} \left(4 k + 6\right)}{\cancel{2}} < - 22$
$4 k + 6 < - 22$
Subtracting 6 from both sides,
$4 k < - 28$
Dividing both sides by 4,
$k < - \frac{28}{4}$
$\therefore k < - 7$

Hope this helps :)
The text passage contains a single mathematical question, which is an inequality problem, and provides a detailed step-by-step solution to the problem, concluding with the answer.
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
How do you solve 2( 4k + 6) < - 44?

Mar 18, 2018

$k < - 7$

Explanation:

$\text{distribute parenthesis on left side}$

$8 k + 12 < - 44$

$\text{subtract 12 from both sides}$

$8 k \cancel{+ 12} \cancel{- 12} < - 44 - 12$

$\Rightarrow 8 k < - 56$

$\text{divide both sides by 8}$

$\frac{\cancel{8} k}{\cancel{8}} < \frac{- 56}{8}$

$\Rightarrow k < - 7 \text{ is the solution}$

Mar 18, 2018

$k < - 7$
Refer to the explanation.

Explanation:

$2 \left(4 k + 6\right) < - 44$
Dividing both sides by 2,
$\frac{\cancel{2} \left(4 k + 6\right)}{\cancel{2}} < - 22$
$4 k + 6 < - 22$
Subtracting 6 from both sides,
$4 k < - 28$
Dividing both sides by 4,
$k < - \frac{28}{4}$
$\therefore k < - 7$

Hope this helps :)
user
The text passage contains a single mathematical question, which is an inequality problem, and provides a detailed step-by-step solution to the problem, concluding with the answer.

TYPE: SINGLE_QUESTION_WITH_ANSWER