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Consider the inequality. 3 (x - 2) +6 3 What is the solution to the inequality? Ors] O2 0 x 3
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18 votes
18 votes
Consider the inequality. 3 (x - 2) +6 3 What is the solution to the inequality? Ors] O2 0 x 3

User Alpha Beta Charlie
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2 Answers

21 votes
21 votes

Sorry, did you actually mean
3(x-2)+6 ×
3 ?

If so, then here is the solution.


3x + 12

Hope this helps!

User Raydowe
by
2.4k points
8 votes
8 votes

\begin{gathered} 3(x\text{ - 2) }\ge\text{ x + 6 /3} \\ \text{Open the parentheses} \\ 3\cdot\text{ x - 3 }\cdot\text{ 2 }\ge\text{ }\frac{x\text{ + 6}}{3} \\ 3x\text{ - 6 }\ge\text{ }\frac{x\text{ + 6}}{3} \\ \text{Cross multiplication} \\ 3(3x\text{ - 6) }\ge\text{ x + 6} \\ 3\cdot\text{ 3x - 3 }\cdot\text{ 6 }\ge\text{ x + 6} \\ 9x\text{ - 18 }\ge\text{ x + 6} \\ \text{collect the like terms} \\ 9x\text{ - x }\ge\text{ 6 + 18} \\ 8x\text{ }\ge\text{ 24} \\ \text{divide both sides by 8} \\ \frac{8x}{8\text{ }}\ge\text{ 24/8} \\ x\ge3 \end{gathered}

User Vikasmk
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