02+-+Sec.+6.2

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**By : Chrissy Bermudez  ; Ryan Beard ; & Kelsey Benedict ! ** ​__ "6.2 Problem Solving With Compound Inequalities" __

 ** // Main Idea // ** ** : ** ** The main idea of Section 6.2 "Problem Solving With Compound Inequalities" is to find quantities that exceed given amounts. We would use this when you have a problem with two (2) numbers and you have a variable (y or x) in the middle. **

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**Suzanne & Edwin both ran a 2-Kilometer race. Suzanne finished ahead of Edwin, and Edwin's time for the race was 8 minutes. Write an inequality that describes Suzannes average speed for the race .** 2x<8 **
 * // Example 1 : //**
 * Solution :

//** Example 2 : **// **You see an advertisment for instructions on how to tie flies for fly-fishing. The cost of materials is $15 to start & for each fly is $0.15. You plan to sell each fly for $0.58, & you want to make a profit of @ least $200. How many flies will you need to tie & sell ?** ** // Solution : // 0.58x - (0.15 x+ 15) is greater than or equal to 200 ** 0.43x - 15 is greater then or equal to 200 0.43x is greater than or equal to 215 X is greater than or equal to 500 You need to tie & sell @ least 500 flies. **
 * 0.58x - 0.15x - 15 is greater than or equal to 200

** Tony & Tyler both ran a 6-Kilometer race. Tony Finished Ahead of Tyler, and Tyler's time for the race was 24 minutes. Write an inequality that describes Tony's average speed for the race. ** 6x<24 **
 * <span style="color: #ffa300; font-family: Verdana,Geneva,sans-serif; font-size: 130%;">// Example 3 :// **
 * // Solution : //

​ 1) ** ** Kelsey & Chrissy both are jump roping . Chrissy did @ least 15 more jumps than Kelsey . Write an inequality that describes Chrissy's jumping compared to Kelsey's.
 * <span style="color: #71e82c; font-family: Verdana,Geneva,sans-serif; font-size: 130%;">// Practice Problems ://

2) Chris and Juan were swimming laps for 15 minutes. Juan swam 24 laps . Between the 2 of them, they need to get at least 40 laps. How many laps would Chris need to get at least 40 laps ? Write an inequality. **

Write a compound inequality which represents the number of miles she can drive on 14 gallons of gas. **
 * <span style="color: #60dc60; font-family: Verdana,Geneva,sans-serif;">3) Donna's new car gets 22 miles per gallon (mpg) in the city and 34 mpg on the highway.