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