Solve the following inequalities and represent the solution graphically on number line: 5(2x – 7) – 3(2x + 3) ≤ 0, 2x + 19 ≤ 6x + 47

Asked by Pragya Singh | 1 year ago |  160

##### 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).

Answered by Abhisek | 1 year ago

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