Solve the inequality and graph the solution.

Question

17 + 3t> 8

Answer 1

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, ∞)