91Ó°ÊÓ

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation

Since,

Distance travelled by the herd = $36$miles

Time Taken to covered the distance = $24$hours

From the statement, it is said that the maximum distance travelled will be $36$miles

Let the speed be x miles per hour

So, the inequality will be written in the format of Distance = speed * time

The inequality of the equation is $24×x≤36$.

Since, the inequality is $24x≤36$

Simply dividing $24$to both side of the equation,

$\begin{array}{l}24x≤36\\ \frac{24x}{24}≤\frac{36}{24}\\ x≤1.5\end{array}$

The average speed should be equal to $1.5$ miles per hour.

In this type of inequality, Simply use the property of addition or subtraction of suitable number on both Left Hand Side & Right Hand Sideto maintain the inequality and also the variable & numbers should be at the different sides in the equation

Since,

The caribou herd has been moving for three days.

Then, the total number of hours for three days, ($24$hour = $1$ day)

$24×3=108$ hours

Let the distance travelled in three days be xmiles.

The inequality of the equation is$\frac{36}{24}=\frac{x}{108}$

Since, the inequality is $24x=36×108$

Simply dividing $24$to both side of the equation,

$\begin{array}{l}\frac{36}{24}=\frac{x}{108}\\ 24x=36×108\text{​â¶Ä‹}\left[\text{​â¶Ä‹Crossmultiply​â¶Ä‹}\right]\text{​â¶Ä‹}\\ \frac{24x}{24}=\frac{3888}{24}\text{​â¶Ä‹}\left[\text{​â¶Ä‹Divideeachsidesby24​â¶Ä‹}\right]\text{​â¶Ä‹}\end{array}$

$x=162$

Graphical Interpretation

The graph of the solution $x=162$will be shown in given below which depicts that the herd travelled how much miles in three days.