Answer:
- [tex]\boxed{\sf{r < 1}}[/tex]
Step-by-step explanation:
[tex]\boxed{\underline{\text{SOLVING AN INEQUALITY}}}[/tex]
Given:
The inequality must be solved.
The process of solving an inequality consists of determining the values of the variable that make the statement true.
The definition of inequality is where one quantity is greater than or less than another.
Solutions:
9-4r>5
First, subtract by 9 from both sides.
[tex]:\Longrightarrow \sf{9-4r-9 > 5-9}[/tex]
Solve.
5-9=-4
-4r>-4
Multiply by -1 from both sides.
[tex]\Longrightarrow: \sf{\left(-4r\right)\left(-1\right) < \left(-4\right)\left(-1\right)}[/tex]
Solve.
4r<4
Divide by 4 from both sides.
4r/4<4/4
Solve.
4/4=1
[tex]\Longrightarrow: \boxed{\sf{r < 1}}[/tex]
- Therefore, the final answer is r<1.
I hope this helps, let me know if you have any questions.
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