# Solve each of the following in equations and represent the solution set on the number line., where x ϵ R.

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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