![- 1 - 5x + 6 - 30x \leqslant - 65](https://img.qammunity.org/2021/formulas/mathematics/high-school/kg92l570gloelrced732tqyqm468ogsxn4.png)
![- 35x + 5 \leqslant - 65](https://img.qammunity.org/2021/formulas/mathematics/high-school/np1etnvn77khu583i4ed0b2ssuhdt1u8w0.png)
Factoring -5
![- 5(7x - 1) \leqslant - 65](https://img.qammunity.org/2021/formulas/mathematics/high-school/blcqekncn9sdcedh8g2sp70nfd2zg65fhe.png)
Divided sides by -5
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Point :
If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.
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![( - 5)/( - 5)(7x - 1) \geqslant ( - 65)/( - 5) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/rf5rnp32itn5hcjoux3zlmu376avccpwtx.png)
![7x - 1 \geqslant 13](https://img.qammunity.org/2021/formulas/mathematics/high-school/7r6ytokuenld4yyrfz6pwz3hpwjnjgqkr6.png)
Plus sides 1
![7x - 1 + 1 \geqslant 13 + 1](https://img.qammunity.org/2021/formulas/mathematics/high-school/jrntjkg4dnom7h94ttfempibkfqtgwynjs.png)
![7x \geqslant 14](https://img.qammunity.org/2021/formulas/mathematics/high-school/4z9r63cqia3iwapt5iy63s59bykozyalgf.png)
Divided sides by 7
![(7)/(7)x \geqslant (14)/(7) \\](https://img.qammunity.org/2021/formulas/mathematics/high-school/kxcrxmyxqgvlhhe9cz0kvzlb0v1ybqqam0.png)
![x \geqslant 2](https://img.qammunity.org/2021/formulas/mathematics/high-school/fzhtqt15k63lff7ziha85jgnaikoslmpa4.png)
Done ♥️♥️♥️♥️♥️