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Write an inequality as a compound form and also draw a graph of it.鈥淭he ski wax you use keeps your skis performing well at temperaturefrom -6Cto15C .Express the lower limit and upper limit of the skiwax鈥.

Short Answer

Expert verified

The compound inequality of the situation is -6t15.

Step by step solution

01

Step -1 - Apply the concept of Linear inequalities

In this type of question, Simply use the concept of understanding the question very carefully and then taking a variableand with accurate symbol >,< make a suitable inequality.

02

Step -2 – Find the inequality by explaining the statement

Here, The ski wax you use keeps your skis performing well at temperature from

-6Cto15C.

From the above statement, it is clearly seen that the wax need a minimum temperature of -6C and up to maximum temperature of 15C. So, the lower limit will be -6C and the upper limit will be 15C.

03

Step- 3 – Make the expression of the inequality

Now, Let t be the temperature range where the skis will perform well.

Then, the inequality of the two situation are: t-6&t15

On combining the both inequality, it gives: -6t15

Graphical Interpretation

Following is the graph of the expression -6t15 to get the proper graphical representation to know the points.

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