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love history [14]
3 years ago
5

3(x-1)≤ ½(x+1) -6. Topic is Linear inequalities ​

Mathematics
1 answer:
Papessa [141]3 years ago
3 0

Answer:

x\le \:-1

Step-by-step explanation:

3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6

3x-3\le \:-\frac{11}{2}+\frac{1}{2}x

3x\le \:-\frac{5}{2}+\frac{1}{2}x\\

\frac{5}{2}x\le \:-\frac{5}{2}

5x\le \:-5

x\le \:-1

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ -\frac{13}{2}

This is also true.

Therefore, x ≤ -1.

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