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.
(5x – 8).(2) ≥ (4x-7).(3)
10x – 16 ≥ 12x -21
Now, adding 16 to both the sides
10x -16 + 16 ≥ 12x -21 + 16
10x ≥ 12x -5
Now, subtracting 12x from both the sides of the above equation
10x -12x ≥ 12x – 5 – 12x
-2x ≥ -5
Now, multiplying by -1 on both the sides of above equation
(-2x)(-1) ≥ (-5)(-1)
2x ≤ 5 (inequality reversed)
Therefore,