Answer:

Step-by-step explanation:
We can treat an inequality just the same as an equality in terms of manipulation!(This doesn't hold for multiplying or dividing by negative numbers, but it holds for all addition).
So, we can add
to both sides of the inequality to get
.
We can simplify
into
, and
into
.
So, the answer is
and we're done!
Less than means minus so 7 less than means -7
-2 times a number x means -2 times x or -2x
is greater than or equal to means <u>></u>
41=41
so
-7+-2x<u>></u>41
-2x-7<u>></u>41
add 7 to both sides
-2x<u>></u>48
divide both sides by -2
remember to flip sign since divided by negative
x<u><</u>-96
For this case, the first thing we must do is define variables.
We have then:
x: time in minutes
y: distance traveled.
We then have the following equations:
For Kathleen:

For Arnob:

By the time Arnob reaches Kathleen we have:

From here, we clear the value of x.
We have then:


Answer:
it takes Arnob to catch up to Kathleen 75 minutes:
d. 75