# Inequalities in the Real World

### Theme: Band

## Less Than or Equal To

4. We are trying to figure out how many songs we can play at a concert so that it's not too long or too short. If each song is three minutes (x) and we have to have one minute to switch out in between each band and we only have 30 minutes. At most, how many songs can we play total between all three bands in 30 minutes?

## Multi-Step

6. As a band we have to practice at least three hours a week. If this week, the Clarinet section (c) has practiced 30 minutes more than the Trombones, the Trumpets (t) have practiced 15 more minutes than the Clarinets, and the rest of the band (r) has practiced a total of 1 hour. At least, how much (minutes) have the Trombones (b) practiced?

## Answers

*1. f>400**2. 15x≥200 *

*x≥14*

*3. 1.5+x<4 *

*x<2.5*

*4. 3x+3≤30 *

*x≤9*

*5. |h-60|≤5*

*-5≤h-60≤5*

*+60*

*55≤h≤65*

*6.*

__c__= 30+b

__t__= 15+(30+b)

__r__= 60

__b__= trombones

*(30+b)+b+(15+30+b)+60≥180*

*135+3b≥180*

*-135*

*3b≥45*

*3b/3, 45/3*

*b≥15*