Question

@mathmale Write a compund inequality for:

On a road in the city of Rochester, the maxium speed is 50 miles per hour, and the minimum speed is 20 miles per hour.

Answer 1

Choose a letter to represent "speed."

For example, if you were to choose the letter x,

How would you write the inequality for "the minimum speed is 20 mph?

How would you write the inequality for "the max speed is 50 mph"?

Note that 20 mph would be OK, so use <= instead of just <.

Answer 2

So @mathmale what are you asking me to do ?

Answer 3

Write the appropriate inequality (or inequalities).

minimum speed is 20 miles per hour translates to 20<=x .
max speed is 50 mph translates to what? (write the appropriate inequality).

Answer 4

x<50 ?

Answer 5

@mathmale

Answer 6

Recall that 50mph is the MAX speed. So, you could write x <= 50 mph, not just x < 50.

Now put the two halves of your inequality together:

20 mph <= x (what follows now?)

Answer 7

20<X<50 @mathmale

Answer 8

But, Nick, you didn't include that "=" ....

Would you please try again? See what I wrote out earlier as examples.

Answer 9

yes

Answer 10

So, where's your work?