Question

What inequalities are used to show “at least” or “no more than”?

Answer 1

Hint: In this problem, we have to show at least and no more than. The most important point which we need to remember is that at least means it should have a minimum fixed value whereas no more than means it should have a fixed maximum/upper value. So let’s see how we can solve this problem.

Complete step by step solution:
Suppose that we have a variable x and we have to find at least and no more than x.
x is at least $2\Leftrightarrow x\ge 2$. Here, the lower limit of x is fixed as 2 so x cannot be less than 2. x can be equal to 2 but not less than that.
x is no more than $5\Leftrightarrow x\le 5$. Here, the upper limit of x is fixed as 5 so x cannot be greater than 5. x can be equal to 5 but not more than that.

Note:
Remember, from the given problem we could easily understand the meaning of at least and no more than that. We have solved this problem with the help of a variable x, you can choose any variable of your choice. But the most important is the sign of less than equal to and greater than equal to.