Question

What is the solution to the inequality {2}" alt="\frac{f}{2}" align="absmiddle" class="latex-formula"> - 19 < 47?

Answer 1

The solution of inequality $\frac{f}{2} - 19 < 47$ 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:

$\frac{f}{2} - 19 < 47$

Add 19 to both sides of equation

$\frac{f}{2} - 19 +19 < 47 + 19\\\\\frac{f}{2} < 47 + 19\\\\\frac{f}{2} < 66$

Multiply both the sides of inequality by 2

$\frac{f}{2} \times 2 < 66 \times 2\\\\f < 132$

Thus the solution to given inequality is f < 132