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

3 – 2x ≥ 4x – 9, where x ϵ R.


Given:


3 – 2x ≥ 4x – 9, where x ϵ R.


3 – 2x ≥ 4x – 9


Subtracting 3 from both the sides in the above equation,


3 – 2x – 3 ≥ 4x – 9 – 3


-2x ≥ 4x – 12


Now, subtracting 4x from both the sides in the above equation,


-2x – 4x ≥ 4x – 12 – 4x


-6x ≥ -12


Now, dividing both the sides by 6 in the above equation,



-x ≥ -2


Now, multiplying by (-1) on both the sides in above equation.


(-x).(-1) ≥ (-2).(-1)


x ≤ 2



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