The problem is to solve the inequality $t - 5 > 1$ and graph the solution on a number line.

AlgebraInequalitiesSolving InequalitiesNumber Line
2025/3/8

1. Problem Description

The problem is to solve the inequality t5>1t - 5 > 1 and graph the solution on a number line.

2. Solution Steps

First, we need to isolate tt in the inequality t5>1t - 5 > 1. To do this, we add 5 to both sides of the inequality:
t5+5>1+5t - 5 + 5 > 1 + 5
t>6t > 6
The solution to the inequality is t>6t > 6. This means that tt can be any number greater than 6, but not equal to

6. To graph this on a number line, we would place an open circle at 6 and draw an arrow extending to the right, indicating all numbers greater than

6.

3. Final Answer

t>6t > 6

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