Q. 84.0( 5 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.

(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,

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