1 Answer
Solution :-
The inequalities given are,
5(2x – 7) – 3(2x + 3) ≤ 0 and 2x + 19 ≤ 6x + 47
5(2x – 7) – 3(2x + 3) ≤ 0
= 10x – 35 – 6x – 9 ≤ 0
= 4x – 44 ≤ 0
= 4x ≤ 44
= x ≤ 11 ……(i)
2x + 19 ≤ 6x +47
= 6x – 2x ≥ 19 – 47
= 4x ≥ -28
= x ≥ -7 ……….(ii)
From equations (i) and (ii),
We can infer that the solution of given inequalities is (-7, 11).
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