We have two solutions:
[tex]t=10/3 \\ \\ t=2[/tex]
Explanation:
Let's solve this step by step:
Step 1. Add 10 to both sides of the equation
[tex]\mid 3t-8 \mid -10 +10 =-8+10 \\ \\ \mid 3t-8 \mid =2[/tex]
Step 2. From property, we'll have two equations:
[tex]Case \ 1: \\ \\ (3t-8)=2 \\ \\ 3t=2+8 \\ \\ 3t=10 \\ \\ t=10/3 \\ \\ \\ Case \ 2: \\ \\ -(3t-8)=2 \\ \\ -3t+8=2 \\ \\ 3t=8-2 \\ \\ 3t=6 \\ \\ t=2[/tex]
Finally, we have two solutions:
[tex]t=10/3 \\ \\ t=2[/tex]
Learn more:
Absolute value of complex numbers: https://brainly.com/question/12541796
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