Final Answer:
The inequality that is true for x=5 is x<6.
Step-by-step explanation:
In order to find the correct inequality for x=5, we need to first understand what an inequality is. An inequality is a mathematical statement that shows a relationship between two values, with one value being greater than or less than the other. In this case, x=5 means that the value of x is equal to 5.
Now, we need to determine which inequality is true for x=5. Since x=5 is an equality, we know that x is equal to 5 and cannot be greater or lesser than 5. This means that the inequality must involve a value that is less than 5. Looking at the options, we have x<5, x≤5, x≠5, x>5, and x≥5.
We can eliminate x≠5 as this means that x is not equal to 5, which is not true since we know that x=5. We can also eliminate x≥5 as this means that x is greater than or equal to 5, which is not true since x cannot be greater than 5. This leaves us with x<5, x≤5, and x>5.
To determine the correct inequality, we can substitute x=5 into each option. When we substitute x=5 into x<5, we get 5<5. This is not true since 5 is not less than itself. When we substitute x=5 into x≤5, we get 5≤5. This is also not true for the same reason. However, when we substitute x=5 into x>5, we get 5>5. This is also not true since 5 cannot be greater than itself.
Therefore, the only option that is true for x=5 is x<5, which can also be written as x<6 since 5 is less than 6. This is the correct answer for the given question. It is important to carefully analyze the given information and use mathematical principles to determine the correct answer. This ensures accuracy and precision in our solutions.
Complete Question:
For the value x=5, which inequality is true, and how is this determined by analyzing the nature of inequalities and substituting x=5 into the given options?