Q. 134.0( 4 Votes )

Solve each of the following in equations and represent the solution set on the number line.

, where x ϵ R.

Answer :

Given:


, where x ϵ R.


Multiplying by 60 on both the sides in the above equation.



20(2x – 1) ≥ 15(3x – 2) -12(2 – x)


40x – 20 ≥ 45x – 30 – 24 + 12x


40x – 20 ≥ 57x – 54


Now, Adding 20 on both the sides in the above equation


40x – 20 + 20 ≥ 57x – 54 + 20


40x ≥ 57x – 34


Now, subtracting 57x from both the sides in the above equation


40x – 57x ≥ 57x – 34 – 57x


-17x ≥ -34


Multiplying by -1 on both sides in the above equation


(-17x)(-1) ≥ (-34)(-1)


17x ≤ 34


Now, divide by 17 on both sides in the above equation



Therefore,


x ≤ 2



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