An inequality is an expression that defines limits or bounds to some given variable.
In this case, we will see that the inequality is:
12mi ≤ x ≤ 15mi
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Now let's see how to get that.
We know that Nadeem plans to ride her bike between 12 miles and 15 miles.
So if we define x as the number of miles that she can ride, the minimum amount that she will ride is 12 miles, then x can be larger than or equal to 12 miles, this is written as:
12 mi ≤ x
And the maximum amount that she would ride is 15 miles, then x can be smaller than or equal to 15 miles, this is written as:
x ≤ 15 mi
Now if we write these two inequalities together we get:
12mi ≤ x ≤ 15 mi
So we have a lower bound and an upper bound to the amount she plans to ride.
If you want to learn more, you can read:
https://brainly.com/question/20383699
