Answer :

Given:


, where x ϵ R.


(5x – 8).(2) ≥ (4x-7).(3)


10x – 16 ≥ 12x -21


Now, adding 16 to both the sides


10x -16 + 16 ≥ 12x -21 + 16


10x ≥ 12x -5


Now, subtracting 12x from both the sides of the above equation


10x -12x ≥ 12x – 5 – 12x


-2x ≥ -5


Now, multiplying by -1 on both the sides of above equation


(-2x)(-1) ≥ (-5)(-1)


2x ≤ 5 (inequality reversed)


Therefore,




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