Question

What is the solution to the inequality
`(f)/(2)` - 19 < 47?

Answer 1

The solution of inequality
`(f)/(2) - 19 < 47` is f < 132

Solution:

Given that we have to find the solution of inequality

These things do not affect the direction of the inequality:

Add (or subtract) a number from both sides.

Multiply (or divide) both sides by a positive number.

Simplify the sides

Given inequality is:

`(f)/(2) - 19 < 47`

Add 19 to both sides of equation

`(f)/(2) - 19 +19 < 47 + 19\\\\(f)/(2) < 47 + 19\\\\(f)/(2) < 66`

Multiply both the sides of inequality by 2

`(f)/(2) * 2 < 66 * 2\\\\f < 132`

Thus the solution to given inequality is f < 132