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

Question

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

Philoid · Accepted Answer

Given:

, where x ϵ R.

Multiplying 60 on both the sides in the above equation,

15x < 20(5x - 2) – 12(7x - 3)

15x < 100x – 40 – 84x + 36

15x < 16x – 4

Now, subtracting 16x from both sides in above equation

15x – 16x < 16x – 4 – 16x

-x < -4

Now, multiplying by -1 on both sides in above equation

(-x)(-1) < (-4)(-1)

x > 4 (inequality sign reversed)