Lourdes plans to jog at least 1.5 miles. lourdes averages 3.75 mph pace when she jogs write and solve an inequality to find x, the number of hours lourdes will have to jog

An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.

The number of hours Lourdes will have to jog is 0.4 hours

From the given parameters:

Then,

= 1.5 miles ≤ 3.75 (x) miles/hour

Solving the inequality;

= 1.5 ≤ 3.75 (x)

Making (x) the subject of the formula, we have:

x =  0.4 hours

Therefore, we can conclude that the number of  hours lourdes will have to jog is 0.4 hours

Learn more about inequality here:

link

Step-by-step explanation:

At least means greater than or equal to, so that is the symbol we will use.  Now, we want the inequality to compare the distance she plans to jog and the amount of time jogged multiplied by the speed, since time times speed equals distance.

Writing this out we get 1.5 ≤ 3.75x

so 1.5 will always be less than or equal to the distance jogged.  let me know if there is something you don't understand.  But after this just solve for x.