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Answer :

`-9/2 le x le 3 `Solution :

`(6x^2-5x-3)/(x^2-2x+6)le 4 ` <br> or `(6x^2-5x-3)/(x^2-2x+6)- 4 le 0 ` <br> or `(2x^2+3x-27)/((x-1)^2+5) le 0 ` <br> or `2x^2 +3x-27 le 0 ` <br> `or (2x+9)(x-3) le 0 ` <br> or `(-9/2) le x le 3 `Transcript

Time | Transcript |
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00:00 - 00:59 | flower question is called 6 x square - 5 x minus 3 upon x square - 2 X + 6 is less than equal to 4 OK so I have to write this question so it is 6 x square - 5 x minus 3 upon x square - 2 X + 6 should be less than equal to power Aisa crack for from both side so it is x 6 x square - 5 x minus 3 upon x square - 2 X + 6 - 411 subtracting 4 - 4 then if you subtract -4 from 40 so I have to simplify it superstar take calcium so LCM is x square - 2 X + 6 and |

01:00 - 01:59 | Heritage here it is 6 x square - 5 x minus 3 3 and minus 4 into x square - 2 X + 6 ok so it is less than equal to zero ok and I also right here and I right here days 6 x square - 5 x minus 3 Y write 6 x square - 5 x minus 3 minus 4 x square + 8 x minus 24 upon upon x square - 2 X + 6 should be less than equal to zero show and subtracting I get to x square and here it is 3x and here it is minus 27 upon X is |

02:00 - 02:59 | - 2 X + 6 should be less than equal to zero less than equal to zero and so I can also write it as I can also write here that it has 2 X square + 9 x minus 6 x minus 27 upon x square - 2 X + 6 should be less than equal to zero I take X common take Axis common cities to X + 9 and from here I take three common - 3 = 2 X + 9 upon and a square - 2 X + 6 can be written as X + 1 whole square + 5 should be less than equal to zero ok so |

03:00 - 03:59 | I can write it as 2 X + 9 into x minus 3 upon upon X + 1 whole square + 5 should be less than equal to zero ok so so this function if you observe that this function is always positive because if we put anything in this function it is positive because here it is a square and this is positive then it is it is constant so it was always positive it is always greater than zero so I I can write the denominator price 2 X + 9 into x minus 3 is less than equal to zero for making this function less than equal to zero the numerator is less than equal to zero so I have to find the value of x on this disc |

04:00 - 04:59 | 033 and -92 ok so I draw a number line I draw a number line and locate this two points to the two points are - 9 by 2 and here it is 3 after three this this is positive if you put three in it it is positive after defeat at X equal to four sweet is positive it is also positive so that resultant is also positive so here it is positive and alternative energy after every year to change sign positive here it is negative here it is positive so I have to take the negative value in this in between the centre was so I can right here at belongs to -923 OK so the answer answer of our question is X belongs to minus X 22 |

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