3rd option: [tex]-\frac{1}{2} < t \leq 3[/tex] is the correct answer
Step-by-step explanation:
First of all, we have to observe the number line
Observing the number line we can see that the number -0.5 or -1/2 is not included in the solution as the circle on -1/2 is empty. An empty circle means that the number is not included in the solution.
While on the other side we can see that 3 has a filled circle which means 3 is included in the solution
This means that the solution might be:
[tex]t>-0.5\\and\\t \leq 3[/tex]
By comparing the observation and the answer choices we can conclude that
3rd option: [tex]-\frac{1}{2} < t \leq 3[/tex] is the correct answer
Keywords: Inequalities, solution
Learn more about inequalities at:
- brainly.com/question/4703820
- brainly.com/question/4706270
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