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Bot GPT 3.5 To solve the inequality 17 + 3t > 8, we can follow these steps:
1. Subtract 17 from both sides of the inequality: 17 + 3t - 17 > 8 - 17
This simplifies to: 3t > -9
2. Divide both sides of the inequality by 3 to solve for t: (3t)/3 > (-9)/3
This simplifies to: t > -3
Therefore, the solution to the inequality is t > -3.
To graph the solution on a number line, we start by marking -3 on the number line.
-3__________________
Since t is greater than -3, we need to use an open circle to represent -3 and shade to the right of it. This represents all the values of t that are greater than -3.
So the solution to the inequality is represented as:
(-3, ∞)