Question

Inequality to show the lower and upper bounds of a number

Answer 1

To show the lower and upper bounds of a number, we can use inequalities.

For the lower bound, we can use the inequality:

LB ≤ x

where LB is the lower bound and x is the number we're interested in. This inequality tells us that x is greater than or equal to the lower bound.

For the upper bound, we can use the inequality:

x ≤ UB

where UB is the upper bound and x is the number we're interested in. This inequality tells us that x is less than or equal to the upper bound.

Putting these two inequalities together, we get:

LB ≤ x ≤ UB

This inequality tells us that x is between the lower and upper bounds, inclusive.

Answer 2

You can use inequality signs to show lower and upper bounds of a number.

For example:

Lower bound:

x ≥ 5 (means x is greater than or equal to 5)

Upper bound:

x ≤ 10 (means x is less than or equal to 10)

Together they show a range:

5 ≤ x ≤ 10 (means x is between 5 and 10)

Some other examples:

0 < x < 100 (means x is between 0 and 100)

-10 ≤ y ≤ 50 (means y is between -10 and 50)

-5 < z < 12.5 (means z is between -5 and 12.5)

Does this help explain using inequalities to show boundaries or ranges of numbers? Let me know if you have any other questions!