The solution of inequality [tex]\frac{f}{2} - 19 < 47[/tex] 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:
[tex]\frac{f}{2} - 19 < 47[/tex]
Add 19 to both sides of equation
[tex]\frac{f}{2} - 19 +19 < 47 + 19\\\\\frac{f}{2} < 47 + 19\\\\\frac{f}{2} < 66[/tex]
Multiply both the sides of inequality by 2
[tex]\frac{f}{2} \times 2 < 66 \times 2\\\\f < 132[/tex]
Thus the solution to given inequality is f < 132
