The solution to the system of inequalities given is: [tex]\frac{4}{3} \leq y \leq 4[/tex]
What is the solutions to a system of inequalities?
The solution is the set of values that respect all conditions of the system.
The first condition is:
[tex]3y - 13 \geq -9[/tex]
[tex]3y \geq 4[/tex]
[tex]y \geq \frac{4}{3}[/tex]
The second condition is:
[tex]3y - 13 \leq -1[/tex]
[tex]3y \leq 12[/tex]
[tex]y \leq \frac{12}{3}[/tex]
[tex]y \leq 4[/tex]
The intersection of the conditions, which is the solution to the inequality, is:
[tex]\frac{4}{3} \leq y \leq 4[/tex]
More can be learned about a system of inequalities at https://brainly.com/question/3656398
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